Solve ) ((- 4) ^ 5) / ((- 4) ^ 8) ) 5 ) 4 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$( - 4 ) ^ { 5 } \div ( - 4 ) ^ { 8 }$$

Evaluate

$-\frac{1}{64}=-0.015625$

Solution Steps

Rewrite $\left(-4\right)^{8}$ as $\left(-4\right)^{5}\left(-4\right)^{3}$. Cancel out $\left(-4\right)^{5}$ in both numerator and denominator.

$$\frac{1}{\left(-4\right)^{3}}$$

Calculate $-4$ to the power of $3$ and get $-64$.

$$\frac{1}{-64}$$

Fraction $\frac{1}{-64}$ can be rewritten as $-\frac{1}{64}$ by extracting the negative sign.

$$-\frac{1}{64}$$

Factor

$-\frac{1}{64} = -0.015625$