Algebra Examples

$\frac{5^{6}}{{(5^{0})}^{- 4}}$

Step 1

Move ${(5^{0})}^{- 4}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$5^{6} {(5^{0})}^{4}$

Step 2

Raise $5$ to the power of $6$ .

$15625 {(5^{0})}^{4}$

Step 3

Multiply the exponents in ${(5^{0})}^{4}$ .

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Step 3.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$15625 \cdot 5^{0 \cdot 4}$

Step 3.2

Multiply $0$ by $4$ .

$15625 \cdot 5^{0}$

Step 4

Anything raised to $0$ is $1$ .

$15625 \cdot 1$

Step 5

Multiply $15625$ by $1$ .

$15625$