Simplify (81x^12)^1.25

${(81 x^{12})}^{1.25}$

Step 1

Apply the product rule to $81 x^{12}$ .

$81^{1.25} {(x^{12})}^{1.25}$

Step 2

Raise $81$ to the power of $1.25$ .

$243 {(x^{12})}^{1.25}$

Step 3

Multiply the exponents in ${(x^{12})}^{1.25}$ .

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

$243 x^{12 \cdot 1.25}$

Multiply $12$ by $1.25$ .

$243 x^{15}$