Which is equal to 8^-3? Choices: (A)-8^3 (B)1/8^3 (C)-1/(-8)^-3 (D)-1/8^-3

Identify Base and Exponent: Identify the base and the exponent in 8^-3. Base: 8, Exponent: -3.Rewrite Using Property: Rewrite the expression 8^-3 using the property of negative exponents, which states that a^-n = 1/a^n. So, 8^-3 = 1/8^3.Match with Choices: Match the rewritten expression with the given choices. 1/8^3 corresponds to choice (B).

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Which is equal to $8^{-3}$ ? $\newline$ Choices: $\newline$ (A) $-8^3$ $\newline$ (B) $\frac{1}{8^3}$ $\newline$ (C) $-\frac{1}{(-8)^{-3}}$ $\newline$ (D) $-\frac{1}{8^{-3}}$

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Math Problems

Grade 8

Understanding negative exponents

Full solution

Q. Which is equal to

8^{-3}

\newline

Choices:

\newline

(A)

-8^3

\newline

(B)

\frac{1}{8^3}

\newline

(C)

-\frac{1}{(-8)^{-3}}

\newline

(D)

-\frac{1}{8^{-3}}

Identify Base and Exponent: Identify the base and the exponent in $8^{-3}$ . $\newline$ Base: $8$ , Exponent: $-3$ .
Rewrite Using Property: Rewrite the expression $8^{-3}$ using the property of negative exponents, which states that $a^{-n} = \frac{1}{a^n}$ . $\newline$ So, $8^{-3} = \frac{1}{8^3}$ .
Match with Choices: Match the rewritten expression with the given choices. $\newline$ $\frac{1}{8^3}$ corresponds to choice (B).