Evaluate Using the Given Value x^4*x^-2 when x=5

$x^{4} \cdot x^{- 2}$ when $x = 5$

Step 1

Replace the variable $x$ with $5$ in the expression.

${(5)}^{4} \cdot {(5)}^{- 2}$

Step 2

Multiply ${(5)}^{4}$ by ${(5)}^{- 2}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$5^{4 - 2}$

Subtract $2$ from $4$ .

$5^{2}$

Step 3

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

$25$