Exponent Expressions - SSAT Middle Level Quantitative

1. What is the value of $10^3$?

   $1000$. Raising 10 to the third power means multiplying 10 by itself three times.

2. What is the value of $2^{-3}$?

   $\frac{1}{8}$. A negative exponent indicates the reciprocal of the base raised to the positive power.

3. What is the value of $7^2$?

   $49$. Raising 7 to the second power means multiplying 7 by itself twice.

4. What is the value of $\frac{5^6}{5^4}$?

   $25$. Dividing powers with the same base subtracts the exponents, yielding $5^2$.

5. What is the value of $12^2$?

   $144$. Raising 12 to the second power means multiplying 12 by itself twice.

6. What is the value of $4^3$?

   $64$. Raising 4 to the third power means multiplying 4 by itself three times.

7. What is the value of $2^3 + 2^4$?

   $24$. Addition of exponential terms requires evaluating each separately before summing.

8. What is the value of $10^{-2}$?

   $\frac{1}{100}$. A negative exponent means taking the reciprocal of the base raised to the positive exponent.

9. What is the value of $(-2)^3$?

   $-8$. A negative base raised to an odd power remains negative.

10. What is the value of $8^2$?

    $64$. Raising 8 to the second power means multiplying 8 by itself twice.

11. What is the value of $(-1)^{15}$?

    $-1$. Negative one raised to an odd power remains negative.

12. What is the value of $(-1)^{16}$?

    $1$. Negative one raised to an even power yields positive one.

13. What is the value of $-3^2$?

    $-9$. The unary negative sign applies after exponentiating the positive base.

14. What is the value of $(2^3)^2$?

    $64$. Raising a power to another power multiplies the exponents, yielding $2^6$.

15. What is the value of $2^5$?

    $32$. Raising 2 to the fifth power means multiplying 2 by itself five times.

16. What is the value of $5^2$?

    $25$. Raising 5 to the second power means multiplying 5 by itself twice.

17. What is the value of $6^3$?

    $216$. Raising 6 to the third power means multiplying 6 by itself three times.

18. What is the value of $2^0$?

    $1$. Any non-zero number raised to the zeroth power equals 1.

19. What is the value of $(3^2)^3$?

    $729$. Raising a power to another power multiplies the exponents, yielding $3^6$.

20. What is the value of $3^4$?

    $81$. Raising 3 to the fourth power means multiplying 3 by itself four times.

21. What is the value of $\frac{1}{2^3}$?

    $\frac{1}{8}$. The fraction represents the reciprocal of $2$ raised to the third power.

22. What is the value of $9^2$?

    $81$. Raising 9 to the second power means multiplying 9 by itself twice.

23. What is the value of $\frac{3^2}{3^5}$?

    $\frac{1}{27}$. Dividing powers with the same base subtracts the exponents, yielding $3^{-3}$.

24. What is the value of $2^3 \times 2^4$?

    $128$. Multiplying powers with the same base adds the exponents, resulting in $2^7$.

25. What is the value of $(-3)^2$?

    $9$. A negative base raised to an even power yields a positive result.

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