Evaluate (x^10)(x^5)^2

$(x^{10}) {(x^{5})}^{2}$

Step 1

Multiply the exponents in ${(x^{5})}^{2}$ .

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

$x^{10} x^{5 \cdot 2}$

Multiply $5$ by $2$ .

$x^{10} x^{10}$

Step 2

Multiply $x^{10}$ by $x^{10}$ by adding the exponents.

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

$x^{10 + 10}$

Add $10$ and $10$ .

$x^{20}$