Solve the problem.
-If $3 ^ { - x } = \frac { 1 } { 5 }$, what does $9 ^ { x }$ equal?
A) $- 25$
B) 5
C) 25
D) $\frac { 1 } { 25 }$

Name: Solve the problem. -If $3 ^ { - x } = \frac { 1 } { 5 }$, what does $9 ^ { x }$ equal? A) $- 25$ B) 5 C) 25 D) $\frac { 1 } { 25 }$
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Question

Quizplus · Accepted Answer

First, solve for $x$ in $3^{-x} = \frac{1}{5}$. Rewriting the equation, we get $3^x = 5$. Then, $9^x = (3^2)^x = 3^{2x}$. Since $3^x = 5$, $3^{2x} = (3^x)^2 = 5^2 = 25$.

Solve the Problem 3−x=153 ^ { - x } = \frac { 1 } { 5 }3−x=51​

Solve the Problem $3 ^ { - x } = \frac { 1 } { 5 }$