Which is equal to 3^-2? Choices: (A)-(-3)^2 (B)1/3^2 (C)1/3^-2 (D)3^2

Understand expression: Understand the expression 3^-2. 3^-2 means 1 divided by 3 squared (3^2). Calculate 3^2: Calculate 3^2. 3^2 = 3 * 3 = 9. Calculate 3^-2: Now calculate 3^-2. 3^-2 = 1 / 3^2 = 1 / 9. Match with choices: Match the result with the given choices. (A) -(-3)^2 = -9 (incorrect) (B) 1/3^2 = 1/9 (correct) (C) 1/3^-2 = 9 (incorrect) (D) 3^2 = 9 (incorrect)

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Which is equal to $3^{-2}$ ? $\newline$ Choices: $\newline$ (A) $-(-3)^2$ $\newline$ (B) $\frac{1}{3^2}$ $\newline$ (C) $\frac{1}{3^{-2}}$ $\newline$ (D) $3^2$

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Math Problems

Grade 8

Understanding negative exponents

Full solution

Q. Which is equal to

3^{-2}

\newline

Choices:

\newline

(A)

-(-3)^2

\newline

(B)

\frac{1}{3^2}

\newline

(C)

\frac{1}{3^{-2}}

\newline

(D)

3^2

Understand expression: Understand the expression $3^{-2}$ . $3^{-2}$ means $1$ divided by $3$ squared ( $3^2$ ).
Calculate $3^2$ : Calculate $3^2$ . $\newline$ $3^2 = 3 \times 3 = 9$ .
Calculate $3^{-2}$ : Now calculate $3^{-2}$ . $\newline$ $3^{-2} = 1 / 3^2 = 1 / 9$ .
Match with choices: Match the result with the given choices. $\newline$ (A) $-(-3)^2 = -9$ (incorrect) $\newline$ (B) $\frac{1}{3^2} = \frac{1}{9}$ (correct) $\newline$ (C) $\frac{1}{3^{-2}} = 9$ (incorrect) $\newline$ (D) $3^2 = 9$ (incorrect)