Simplify (9r^4)^0.5

${(9 r^{4})}^{0.5}$

Step 1

Apply the product rule to $9 r^{4}$ .

$9^{0.5} {(r^{4})}^{0.5}$

Step 2

Raise $9$ to the power of $0.5$ .

$3 {(r^{4})}^{0.5}$

Step 3

Multiply the exponents in ${(r^{4})}^{0.5}$ .

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

$3 r^{4 \cdot 0.5}$

Multiply $4$ by $0.5$ .

$3 r^{2}$