Algebra Examples

$5^{0} \cdot \frac{5^{- 5}}{5^{5}}$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$5^{0} \cdot \frac{\frac{1}{5^{5}}}{5^{5}}$

Step 1.2

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

$5^{0} \cdot \frac{\frac{1}{3125}}{5^{5}}$

Step 2

Simplify the expression.

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Step 2.1

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

$5^{0} \cdot \frac{\frac{1}{3125}}{3125}$

Step 2.2

Anything raised to $0$ is $1$ .

$1 \cdot \frac{\frac{1}{3125}}{3125}$

Step 2.3

Multiply $\frac{\frac{1}{3125}}{3125}$ by $1$ .

$\frac{\frac{1}{3125}}{3125}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{3125} \cdot \frac{1}{3125}$

Step 4

Multiply $\frac{1}{3125} \cdot \frac{1}{3125}$ .

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Step 4.1

Multiply $\frac{1}{3125}$ by $\frac{1}{3125}$ .

$\frac{1}{3125 \cdot 3125}$

Step 4.2

Multiply $3125$ by $3125$ .

$\frac{1}{9765625}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{9765625}$

Decimal Form:

$1.024 \cdot 10^{- 7}$