Simplify (28^(3/5))^(5/6)

${(28^{\frac{3}{5}})}^{\frac{5}{6}}$

Step 1

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

$28^{\frac{3}{5} \cdot \frac{5}{6}}$

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

$28^{\frac{3}{5} \cdot \frac{5}{3 (2)}}$

Cancel the common factor.

$28^{\frac{3}{5} \cdot \frac{5}{3 \cdot 2}}$

Rewrite the expression.

$28^{\frac{1}{5} \cdot \frac{5}{2}}$

Step 3

Cancel the common factor of $5$ .

Cancel the common factor.

$28^{\frac{1}{5} \cdot \frac{5}{2}}$

Rewrite the expression.

$28^{\frac{1}{2}}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$28^{\frac{1}{2}}$

Decimal Form:

$5.29150262 \dots$