Simplify 5^0*(5^5)/(5^-2)

$5^{0} \cdot \frac{5^{5}}{5^{- 2}}$

Step 1

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

$5^{0} \cdot \frac{3125}{5^{- 2}}$

Step 2

Simplify the denominator.

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

$5^{0} \cdot \frac{3125}{\frac{1}{5^{2}}}$

Raise $5$ to the power of $2$ .

$5^{0} \cdot \frac{3125}{\frac{1}{25}}$

Step 3

Simplify the expression.

Anything raised to $0$ is $1$ .

$1 \cdot \frac{3125}{\frac{1}{25}}$

Multiply $\frac{3125}{\frac{1}{25}}$ by $1$ .

$\frac{3125}{\frac{1}{25}}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$3125 \cdot 25$

Step 5

Multiply $3125$ by $25$ .

$78125$