Simplify (2^3x^2)^5

${(2^{3} x^{2})}^{5}$

Step 1

Raise $2$ to the power of $3$ .

${(8 x^{2})}^{5}$

Step 2

Apply the product rule to $8 x^{2}$ .

$8^{5} {(x^{2})}^{5}$

Step 3

Raise $8$ to the power of $5$ .

$32768 {(x^{2})}^{5}$

Step 4

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

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

$32768 x^{2 \cdot 5}$

Multiply $2$ by $5$ .

$32768 x^{10}$