Simplify 5^0*(5^-5)/(5^5)

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

Simplify the numerator.

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

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

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

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

Simplify the expression.

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

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

Anything raised to $0$ is $1$ .

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

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

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

Multiply the numerator by the reciprocal of the denominator.

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

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

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

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

Multiply $3125$ by $3125$ .

$\frac{1}{9765625}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{9765625}$

Decimal Form:

$1.024 \cdot 10^{- 7}$