Exponent Expressions - SSAT Middle Level: Quantitative
Card 1 of 25
What is the value of $rac{5^6}{5^4}$?
What is the value of $rac{5^6}{5^4}$?
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$25$. Dividing powers with the same base subtracts the exponents, yielding $5^2$.
$25$. Dividing powers with the same base subtracts the exponents, yielding $5^2$.
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What is the value of $(-2)^3$?
What is the value of $(-2)^3$?
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$-8$. A negative base raised to an odd power remains negative.
$-8$. A negative base raised to an odd power remains negative.
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What is the value of $(2^3)^2$?
What is the value of $(2^3)^2$?
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$64$. Raising a power to another power multiplies the exponents, yielding $2^6$.
$64$. Raising a power to another power multiplies the exponents, yielding $2^6$.
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What is the value of $10^{-2}$?
What is the value of $10^{-2}$?
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$rac{1}{100}$. A negative exponent means taking the reciprocal of the base raised to the positive exponent.
$rac{1}{100}$. A negative exponent means taking the reciprocal of the base raised to the positive exponent.
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What is the value of $2^3 + 2^4$?
What is the value of $2^3 + 2^4$?
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$24$. Addition of exponential terms requires evaluating each separately before summing.
$24$. Addition of exponential terms requires evaluating each separately before summing.
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What is the value of $8^2$?
What is the value of $8^2$?
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$64$. Raising 8 to the second power means multiplying 8 by itself twice.
$64$. Raising 8 to the second power means multiplying 8 by itself twice.
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What is the value of $2^5$?
What is the value of $2^5$?
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$32$. Raising 2 to the fifth power means multiplying 2 by itself five times.
$32$. Raising 2 to the fifth power means multiplying 2 by itself five times.
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What is the value of $10^3$?
What is the value of $10^3$?
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$1000$. Raising 10 to the third power means multiplying 10 by itself three times.
$1000$. Raising 10 to the third power means multiplying 10 by itself three times.
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What is the value of $3^4$?
What is the value of $3^4$?
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$81$. Raising 3 to the fourth power means multiplying 3 by itself four times.
$81$. Raising 3 to the fourth power means multiplying 3 by itself four times.
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What is the value of $5^2$?
What is the value of $5^2$?
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$25$. Raising 5 to the second power means multiplying 5 by itself twice.
$25$. Raising 5 to the second power means multiplying 5 by itself twice.
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What is the value of $4^3$?
What is the value of $4^3$?
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$64$. Raising 4 to the third power means multiplying 4 by itself three times.
$64$. Raising 4 to the third power means multiplying 4 by itself three times.
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What is the value of $9^2$?
What is the value of $9^2$?
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$81$. Raising 9 to the second power means multiplying 9 by itself twice.
$81$. Raising 9 to the second power means multiplying 9 by itself twice.
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What is the value of $7^2$?
What is the value of $7^2$?
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$49$. Raising 7 to the second power means multiplying 7 by itself twice.
$49$. Raising 7 to the second power means multiplying 7 by itself twice.
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What is the value of $6^3$?
What is the value of $6^3$?
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$216$. Raising 6 to the third power means multiplying 6 by itself three times.
$216$. Raising 6 to the third power means multiplying 6 by itself three times.
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What is the value of $12^2$?
What is the value of $12^2$?
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$144$. Raising 12 to the second power means multiplying 12 by itself twice.
$144$. Raising 12 to the second power means multiplying 12 by itself twice.
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What is the value of $2^0$?
What is the value of $2^0$?
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$1$. Any non-zero number raised to the zeroth power equals 1.
$1$. Any non-zero number raised to the zeroth power equals 1.
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What is the value of $(-3)^2$?
What is the value of $(-3)^2$?
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$9$. A negative base raised to an even power yields a positive result.
$9$. A negative base raised to an even power yields a positive result.
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What is the value of $-3^2$?
What is the value of $-3^2$?
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$-9$. The unary negative sign applies after exponentiating the positive base.
$-9$. The unary negative sign applies after exponentiating the positive base.
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What is the value of $(-1)^{15}$?
What is the value of $(-1)^{15}$?
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$-1$. Negative one raised to an odd power remains negative.
$-1$. Negative one raised to an odd power remains negative.
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What is the value of $(-1)^{16}$?
What is the value of $(-1)^{16}$?
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$1$. Negative one raised to an even power yields positive one.
$1$. Negative one raised to an even power yields positive one.
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What is the value of $rac{1}{2^3}$?
What is the value of $rac{1}{2^3}$?
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$rac{1}{8}$. The fraction represents the reciprocal of $2$ raised to the third power.
$rac{1}{8}$. The fraction represents the reciprocal of $2$ raised to the third power.
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What is the value of $2^{-3}$?
What is the value of $2^{-3}$?
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$rac{1}{8}$. A negative exponent indicates the reciprocal of the base raised to the positive power.
$rac{1}{8}$. A negative exponent indicates the reciprocal of the base raised to the positive power.
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What is the value of $2^3 imes 2^4$?
What is the value of $2^3 imes 2^4$?
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$128$. Multiplying powers with the same base adds the exponents, resulting in $2^7$.
$128$. Multiplying powers with the same base adds the exponents, resulting in $2^7$.
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What is the value of $rac{3^2}{3^5}$?
What is the value of $rac{3^2}{3^5}$?
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$rac{1}{27}$. Dividing powers with the same base subtracts the exponents, yielding $3^{-3}$.
$rac{1}{27}$. Dividing powers with the same base subtracts the exponents, yielding $3^{-3}$.
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What is the value of $(3^2)^3$?
What is the value of $(3^2)^3$?
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$729$. Raising a power to another power multiplies the exponents, yielding $3^6$.
$729$. Raising a power to another power multiplies the exponents, yielding $3^6$.
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