Find the Product (-3^2x^6)^5

${(- 3^{2} x^{6})}^{5}$

Step 1

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

${(- 1 \cdot 9 x^{6})}^{5}$

Step 2

Multiply $- 1$ by $9$ .

${(- 9 x^{6})}^{5}$

Step 3

Apply the product rule to $- 9 x^{6}$ .

${(- 9)}^{5} {(x^{6})}^{5}$

Step 4

Raise $- 9$ to the power of $5$ .

$- 59049 {(x^{6})}^{5}$

Step 5

Multiply the exponents in ${(x^{6})}^{5}$ .

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

$- 59049 x^{6 \cdot 5}$

Multiply $6$ by $5$ .

$- 59049 x^{30}$