Solve the equation.
-$$\left( \frac { 1 } { 4 } \right) ^ { x } = 64$$
A) $ -\frac{1}{3} $
B) $- 3$
C) $\frac { 1 } { 3 }$
D) 3

Name: Solve the equation. -\[\left( \frac { 1 } { 4 } \right) ^ { x } = 64\] A) $ -\frac{1}{3} $ B) $- 3$ C) $\frac { 1 } { 3 }$ D) 3
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Question

Quizplus · Accepted Answer

The equation can be rewritten as $(2^{-2})^x = 2^6$, leading to $2^{-2x} = 2^6$. Equating the exponents gives $-2x = 6$, which simplifies to $x = -3$.

Solve the Equation (14)x=64\left( \frac { 1 } { 4 } \right) ^ { x } = 64(41​)x=64

Solve the Equation $\left( \frac { 1 } { 4 } \right) ^ { x } = 64$