Evaluate (-3/4)^4

${(- \frac{3}{4})}^{4}$

Step 1

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Apply the product rule to $- \frac{3}{4}$ .

${(- 1)}^{4} {(\frac{3}{4})}^{4}$

Apply the product rule to $\frac{3}{4}$ .

${(- 1)}^{4} \frac{3^{4}}{4^{4}}$

Step 2

Raise $- 1$ to the power of $4$ .

$1 \frac{3^{4}}{4^{4}}$

Step 3

Multiply $\frac{3^{4}}{4^{4}}$ by $1$ .

$\frac{3^{4}}{4^{4}}$

Step 4

Raise $3$ to the power of $4$ .

$\frac{81}{4^{4}}$

Step 5

Raise $4$ to the power of $4$ .

$\frac{81}{256}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{81}{256}$

Decimal Form:

$0.31640625$