Which is equal to 1/5^9? Choices: (A)5^-9 (B)(-5)^9 (C)1/5^-9 (D)5^9

Understand expression: Step 1: Understand the expression 1/5^9. Rewrite 1/5^9 using negative exponents. 1 / 5^9 = 5^-9 Rewrite using negative exponents: Step 2: Match the rewritten expression with the given choices. Compare 5^-9 to the choices: (A) 5^-9 (B) (-5)^9 (C) 1/5^-9 (D) 5^9 Choice (A) matches exactly with 5^-9.

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Which is equal to $\frac{1}{5^9}$ ? $\newline$ Choices: $\newline$ (A) $5^{-9}$ $\newline$ (B) $(-5)^9$ $\newline$ (C) $\frac{1}{5^{-9}}$ $\newline$ (D) $5^9$

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Math Problems

Grade 8

Understanding negative exponents

Full solution

Q. Which is equal to

\frac{1}{5^9}

\newline

Choices:

\newline

(A)

5^{-9}

\newline

(B)

(-5)^9

\newline

(C)

\frac{1}{5^{-9}}

\newline

(D)

5^9

Understand expression: Step $1$ : Understand the expression $1/5^9$ . $\newline$ Rewrite $1/5^9$ using negative exponents. $\newline$ $1 / 5^9 = 5^{-9}$
Rewrite using negative exponents: Step $2$ : Match the rewritten expression with the given choices. $\newline$ Compare $5^{-9}$ to the choices: $\newline$ (A) $5^{-9}$ $\newline$ (B) $(-5)^9$ $\newline$ (C) $\frac{1}{5^{-9}}$ $\newline$ (D) $5^9$ $\newline$ Choice (A) matches exactly with $5^{-9}$ .