Evaluate (1/2x^4)^7

${(\frac{1}{2} x^{4})}^{7}$

Step 1

Combine $\frac{1}{2}$ and $x^{4}$ .

${(\frac{x^{4}}{2})}^{7}$

Step 2

Simplify the expression.

Apply the product rule to $\frac{x^{4}}{2}$ .

$\frac{{(x^{4})}^{7}}{2^{7}}$

Multiply the exponents in ${(x^{4})}^{7}$ .

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

$\frac{x^{4 \cdot 7}}{2^{7}}$

Multiply $4$ by $7$ .

$\frac{x^{28}}{2^{7}}$

Raise $2$ to the power of $7$ .

$\frac{x^{28}}{128}$