Algebra Examples

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

Step 1

Simplify the numerator.

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Step 1.1

Multiply the exponents in ${(6^{0})}^{4}$ .

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Step 1.1.1

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

$\frac{6^{0 \cdot 4}}{6^{5}}$

Step 1.1.2

Multiply $0$ by $4$ .

$\frac{6^{0}}{6^{5}}$

Step 1.2

Anything raised to $0$ is $1$ .

$\frac{1}{6^{5}}$

Step 2

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

$\frac{1}{7776}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{7776}$

Decimal Form:

$0.00012860 \dots$