Solve . (((- 5) ^ 0 * (- 5) ^ 3)/((- 5) ^ 4)) 1 | 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

$$( \frac { ( - 5 ) ^ { 0 } \times ( - 5 ) ^ { 3 } } { ( - 5 ) ^ { 4 } } )$$

Evaluate

$-\frac{1}{5}=-0.2$

Solution Steps

To multiply powers of the same base, add their exponents. Add $0$ and $3$ to get $3$.

$$\frac{\left(-5\right)^{3}}{\left(-5\right)^{4}}$$

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

$$\frac{1}{-5}$$

Fraction $\frac{1}{-5}$ can be rewritten as $-\frac{1}{5}$ by extracting the negative sign.

$$-\frac{1}{5}$$

Factor

$-\frac{1}{5} = -0.2$