Solve the equation.
-$4^{\mathrm{x}}=\frac{1}{64}$
A) $\{-3\}$
B) $\left\{\frac{1}{3}\right\}$
C) $\{3\}$
D) $\left\{\frac{1}{16}\right\}$

Name: Solve the equation. -$4^{\mathrm{x}}=\frac{1}{64}$ A) $\{-3\}$ B) $\left\{\frac{1}{3}\right\}$ C) $\{3\}$ D) $\left\{\frac{1}{16}\right\}$
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Question

Quizplus · Accepted Answer

$4^x = \frac{1}{64}$ can be rewritten as $4^x = 4^{-3}$, since $64 = 4^3$ and taking the reciprocal gives the exponent a negative sign. Therefore, $x = -3$.

Solve the Equation 4x=1644^{\mathrm{x}}=\frac{1}{64}4x=641​ A) {−3}\{-3\}{−3} B) {13}\left\{\frac{1}{3}\right\}{31​} C) {3}\{3\}{3} D) {116}\left\{\frac{1}{16}\right\}{161​}

Solve the Equation $4^{\mathrm{x}}=\frac{1}{64}$ A) $\{-3\}$ B) $\left\{\frac{1}{3}\right\}$ C) $\{3\}$ D) $\left\{\frac{1}{16}\right\}$