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Which is equal to $2^{-9}$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{2^9}$ $\newline$ (B) $2^9$ $\newline$ (C) $\frac{1}{(-2)^9}$ $\newline$ (D) $\frac{1}{(-2)^{-9}}$

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Understanding negative exponents

Full solution

Q. Which is equal to

2^{-9}

?

\newline

Choices:

\newline

(A)

\frac{1}{2^9}

\newline

(B)

2^9

\newline

(C)

\frac{1}{(-2)^9}

\newline

(D)

\frac{1}{(-2)^{-9}}

Understand expression $2^{-9}$ : Step $1$ : Understand the expression $2^{-9}$ . $\newline$ Rewrite $2^{-9}$ using the property of negative exponents, which states that $a^{-n} = \frac{1}{a^n}$ . $\newline$ Calculation: $2^{-9} = \frac{1}{2^9}$
Rewrite using negative exponents: Step $2$ : Match the expression $\frac{1}{2^9}$ with the given choices. $\newline$ Choices are: $\newline$ (A) $\frac{1}{2^9}$ $\newline$ (B) $2^9$ $\newline$ (C) $\frac{1}{(-2)^9}$ $\newline$ (D) $\frac{1}{(-2)^{-9}}$ $\newline$ The correct match is (A) $\frac{1}{2^9}$

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