Evaluate Expressions With Exponents - 6th Grade Math
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What does $a^n$ mean when $n$ is a whole number?
What does $a^n$ mean when $n$ is a whole number?
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$a^n$ means $a$ multiplied by itself $n$ times. The exponent tells you how many times to multiply the base by itself.
$a^n$ means $a$ multiplied by itself $n$ times. The exponent tells you how many times to multiply the base by itself.
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What is the expanded form of $5^3$ written as repeated multiplication?
What is the expanded form of $5^3$ written as repeated multiplication?
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$5^3 = 5 \times 5 \times 5$. The exponent 3 means multiply 5 by itself three times.
$5^3 = 5 \times 5 \times 5$. The exponent 3 means multiply 5 by itself three times.
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What are the base and exponent in $7^4$?
What are the base and exponent in $7^4$?
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Base $= 7$, exponent $= 4$. The bottom number is the base, the top number is the exponent.
Base $= 7$, exponent $= 4$. The bottom number is the base, the top number is the exponent.
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What is the value of $a^0$ for any nonzero whole number $a$?
What is the value of $a^0$ for any nonzero whole number $a$?
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$a^0 = 1$. Any nonzero number to the zero power equals one by definition.
$a^0 = 1$. Any nonzero number to the zero power equals one by definition.
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What is the value of $2^3 + 4$?
What is the value of $2^3 + 4$?
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$12$. $2^3 = 8$, then $8 + 4 = 12$
$12$. $2^3 = 8$, then $8 + 4 = 12$
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What is the value of $3 \times 2^4$?
What is the value of $3 \times 2^4$?
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$48$. $2^4 = 16$, then $3 imes 16 = 48$
$48$. $2^4 = 16$, then $3 imes 16 = 48$
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What is the value of $10^3$?
What is the value of $10^3$?
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$1000$. $10 imes 10 imes 10 = 1000$
$1000$. $10 imes 10 imes 10 = 1000$
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What is the value of $2^5$?
What is the value of $2^5$?
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$32$. $2 imes 2 imes 2 imes 2 imes 2 = 32$
$32$. $2 imes 2 imes 2 imes 2 imes 2 = 32$
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What is the value of $3^4$?
What is the value of $3^4$?
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$81$. $3 imes 3 imes 3 imes 3 = 81$
$81$. $3 imes 3 imes 3 imes 3 = 81$
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What is the value of $1^9$?
What is the value of $1^9$?
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$1$. One multiplied by itself any number of times equals one.
$1$. One multiplied by itself any number of times equals one.
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What is the value of $0^5$?
What is the value of $0^5$?
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$0$. Zero multiplied by itself any positive number of times equals zero.
$0$. Zero multiplied by itself any positive number of times equals zero.
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What is the value of $6^2$?
What is the value of $6^2$?
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$36$. $6 imes 6 = 36$
$36$. $6 imes 6 = 36$
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What is the value of $4^3$?
What is the value of $4^3$?
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$64$. $4 imes 4 imes 4 = 64$
$64$. $4 imes 4 imes 4 = 64$
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What is the value of $9^2$?
What is the value of $9^2$?
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$81$. $9 imes 9 = 81$
$81$. $9 imes 9 = 81$
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What is the value of $8^0$?
What is the value of $8^0$?
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$1$. Any nonzero number to the zero power equals one.
$1$. Any nonzero number to the zero power equals one.
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What is the value of $(-3)^2$?
What is the value of $(-3)^2$?
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$9$. $(-3) \times (-3) = 9$ (negative times negative is positive).
$9$. $(-3) \times (-3) = 9$ (negative times negative is positive).
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What is the value of $-3^2$?
What is the value of $-3^2$?
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$-9$. Without parentheses, only 3 is squared, then made negative.
$-9$. Without parentheses, only 3 is squared, then made negative.
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Write $2 imes 2 imes 2 imes 7 imes 7$ using exponents.
Write $2 imes 2 imes 2 imes 7 imes 7$ using exponents.
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$2^3 \times 7^2$. Group same factors: 2 appears 3 times, 7 appears 2 times.
$2^3 \times 7^2$. Group same factors: 2 appears 3 times, 7 appears 2 times.
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Write $6 imes 6 imes 6 imes 6$ using an exponent.
Write $6 imes 6 imes 6 imes 6$ using an exponent.
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$6^4$. Count the factors: 6 appears 4 times.
$6^4$. Count the factors: 6 appears 4 times.
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Evaluate the expression $2^3 \times 5$.
Evaluate the expression $2^3 \times 5$.
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$40$. $8 \times 5 = 40$
$40$. $8 \times 5 = 40$
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Evaluate the expression $18 - 2^4$.
Evaluate the expression $18 - 2^4$.
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$2$. $18 - 16 = 2$
$2$. $18 - 16 = 2$
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Evaluate the expression $(2 + 3)^2$.
Evaluate the expression $(2 + 3)^2$.
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$25$. First add inside parentheses: $5^2 = 25$
$25$. First add inside parentheses: $5^2 = 25$
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What does the exponent mean in $a^n$ when $n$ is a whole number?
What does the exponent mean in $a^n$ when $n$ is a whole number?
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$a^n$ means $a$ multiplied by itself $n$ times. The exponent tells you how many times to multiply the base by itself.
$a^n$ means $a$ multiplied by itself $n$ times. The exponent tells you how many times to multiply the base by itself.
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Identify the base and exponent in $7^4$.
Identify the base and exponent in $7^4$.
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Base $= 7$, exponent $= 4$. The base is the number being multiplied; the exponent shows how many times.
Base $= 7$, exponent $= 4$. The base is the number being multiplied; the exponent shows how many times.
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What is $2^5$?
What is $2^5$?
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$32$. $2 \times 2 \times 2 \times 2 \times 2 = 32$
$32$. $2 \times 2 \times 2 \times 2 \times 2 = 32$
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