Evaluate (3/5)^-4

${(\frac{3}{5})}^{- 4}$

Step 1

Change the sign of the exponent by rewriting the base as its reciprocal.

${(\frac{5}{3})}^{4}$

Step 2

Apply the product rule to $\frac{5}{3}$ .

$\frac{5^{4}}{3^{4}}$

Step 3

Raise $5$ to the power of $4$ .

$\frac{625}{3^{4}}$

Step 4

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

$\frac{625}{81}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{625}{81}$

Decimal Form:

$7.71604938 \dots$

Mixed Number Form:

$7 \frac{58}{81}$