6th Grade Math Flashcards: Evaluate Expressions With Exponents

What this deck covers

This deck focuses on Evaluate Expressions With Exponents, giving you a quick way to review the definitions, rules, and examples that matter most for 6th Grade Math.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: Write $6 imes 6 imes 6 imes 6$ using an exponent.

Answer: $6^4$. Count the factors: 6 appears 4 times.

Flashcard 2: What is the value of $3 \times 2^4$?

Answer: $48$. $2^4 = 16$, then $3 imes 16 = 48$

Flashcard 3: What is the value of $2^4 + 2^3$?

Answer: $24$. $2^4 = 16$ and $2^3 = 8$, so $16 + 8 = 24$

Flashcard 4: What is the value of $8^2$?

Answer: $64$. $8 imes 8 = 64$

Flashcard 5: What is the value of $2^4 + 3^3$?

Answer: $43$. $16 + 27 = 43$ (calculate each power, then add).

Flashcard 6: What is the value of $5^2 - 3^2$?

Answer: $16$. $5^2 = 25$ and $3^2 = 9$, so $25 - 9 = 16$

Flashcard 7: What is the value of $1^8$?

Answer: $1$. One raised to any power equals 1.

Flashcard 8: What is the value of $8^0$?

Answer: $1$. Any nonzero number to the zero power equals one.

Flashcard 9: What is the value of $3^4$?

Answer: $81$. $3 imes 3 imes 3 imes 3 = 81$

Flashcard 10: What is $3^4$?

Answer: $81$. $3 \times 3 \times 3 \times 3 = 81$

Flashcard 11: What is the value of $9^0$?

Answer: $1$. Any nonzero number to the zero power equals 1.

Flashcard 12: What is the value of $5^1$?

Answer: $5$. Any number to the first power equals itself.

Flashcard 13: What is $4^2$?

Answer: $16$. $4 \times 4 = 16$

Flashcard 14: What is the value of $a^1$ for any whole number $a$?

Answer: $a^1 = a$. Any number to the first power equals itself.

Flashcard 15: Evaluate the expression $2^3 \times 5$.

Answer: $40$. $8 \times 5 = 40$

Flashcard 16: Write $2 imes 2 imes 2 imes 7 imes 7$ using exponents.

Answer: $2^3 \times 7^2$. Group same factors: 2 appears 3 times, 7 appears 2 times.

Flashcard 17: What does the exponent mean in $a^n$ when $n$ is a whole number?

Answer: $a^n$ means $a$ multiplied by itself $n$ times. The exponent tells you how many times to multiply the base by itself.

Flashcard 18: What is the base in the expression $7^4$?

Answer: Base: $7$. The base is the number being raised to a power.

Flashcard 19: What is $5^3$?

Answer: $125$. $5 \times 5 \times 5 = 125$

Flashcard 20: What is the value of $0^5$?

Answer: $0$. Zero multiplied by itself any positive number of times equals zero.

Flashcard 21: What is the value of $6^2$?

Answer: $36$. $6 imes 6 = 36$

Flashcard 22: What is the value of $4^2 imes 3$?

Answer: $48$. $16 imes 3 = 48$ (calculate the power first, then multiply).

Flashcard 23: What is the value of $2^3 + 4$?

Answer: $12$. $2^3 = 8$, then $8 + 4 = 12$

Flashcard 24: What is the value of $5^2 - 2^3$?

Answer: $17$. $25 - 8 = 17$ (calculate each power, then subtract).

Flashcard 25: What is the value of $4^3$?

Answer: $64$. $4 imes 4 imes 4 = 64$

Flashcard 26: What is the value of $-3^2$?

Answer: $-9$. Without parentheses, only 3 is squared, then made negative.

Flashcard 27: What is the value of $9^2$?

Answer: $81$. $9 imes 9 = 81$

Flashcard 28: What is the value of $a^0$ for any nonzero whole number $a$?

Answer: $a^0 = 1$. Any nonzero number to the zero power equals one by definition.

Flashcard 29: Evaluate the expression $3^2 + 4^2$.

Answer: $25$. $9 + 16 = 25$

Flashcard 30: What is the value of $3^4$?

Answer: $81$. $3 imes 3 imes 3 imes 3 = 81$

Flashcard 31: Identify the base and exponent in $7^4$.

Answer: Base $= 7$, exponent $= 4$. The base is the number being multiplied; the exponent shows how many times.

Flashcard 32: What is the value of $1^9$?

Answer: $1$. One multiplied by itself any number of times equals one.

Flashcard 33: What is $6^2$?

Answer: $36$. $6 \times 6 = 36$

Flashcard 34: What is the value of $10^3$?

Answer: $1000$. $10 imes 10 imes 10 = 1000$

Flashcard 35: What is the value of $18 imes 2^2$?

Answer: $72$. $18 imes 4 = 72$ (calculate $2^2 = 4$, then multiply).

Flashcard 36: Evaluate the expression $18 - 2^4$.

Answer: $2$. $18 - 16 = 2$

Flashcard 37: What is $2^5$?

Answer: $32$. $2 \times 2 \times 2 \times 2 \times 2 = 32$

Flashcard 38: What is the value of $2^6$?

Answer: $64$. $2 imes 2 imes 2 imes 2 imes 2 imes 2 = 64$

Flashcard 39: What does $a^n$ mean when $n$ is a whole number?

Answer: $a^n$ means $a$ multiplied by itself $n$ times. The exponent tells you how many times to multiply the base by itself.

Flashcard 40: What is the value of $4^3$?

Answer: $64$. $4 imes 4 imes 4 = 64$

Flashcard 41: What is the exponent in the expression $7^4$?

Answer: Exponent: $4$. The exponent is the small number showing how many times to multiply.

Flashcard 42: What is the expanded form of $5^3$ written as repeated multiplication?

Answer: $5^3 = 5 \times 5 \times 5$. The exponent 3 means multiply 5 by itself three times.

Flashcard 43: What is $10^3$?

Answer: $1000$. $10 \times 10 \times 10 = 1000$

Flashcard 44: What is the value of $2 imes 3^3$?

Answer: $54$. $2 imes 27 = 54$ (calculate $3^3 = 27$, then multiply).

Flashcard 45: What are the base and exponent in $7^4$?

Answer: Base $= 7$, exponent $= 4$. The bottom number is the base, the top number is the exponent.

Flashcard 46: Evaluate the expression $(2 + 3)^2$.

Answer: $25$. First add inside parentheses: $5^2 = 25$

Flashcard 47: What is the value of $2^5$?

Answer: $32$. $2 imes 2 imes 2 imes 2 imes 2 = 32$

Flashcard 48: What is the value of $10^3$?

Answer: $1000$. $10 imes 10 imes 10 = 1000$

Flashcard 49: What is the value of $6^2$?

Answer: $36$. $6 imes 6 = 36$

Flashcard 50: Identify the correct evaluation of $2^3 \times 3$: which value is correct?

Answer: $24$. $2^3 = 8$, then $8 imes 3 = 24$

Flashcard 51: What is $9^2$?

Answer: $81$. $9 \times 9 = 81$

Flashcard 52: What is the value of $3^2 + 4^2$?

Answer: $25$. $9 + 16 = 25$ (calculate each power, then add).

Flashcard 53: What is the value of $(-3)^2$?

Answer: $9$. $(-3) \times (-3) = 9$ (negative times negative is positive).

Flashcard 54: What is the value of $(-2)^3$?

Answer: $-8$. $(-2) \times (-2) \times (-2) = -8$ (odd exponent keeps negative).