Simplify (3(j^4)^5)/(4j^10)

$\frac{3 {(j^{4})}^{5}}{4 j^{10}}$

Step 1

Multiply the exponents in ${(j^{4})}^{5}$ .

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

$\frac{3 j^{4 \cdot 5}}{4 j^{10}}$

Multiply $4$ by $5$ .

$\frac{3 j^{20}}{4 j^{10}}$

Step 2

Cancel the common factor of $j^{20}$ and $j^{10}$ .

Factor $j^{10}$ out of $3 j^{20}$ .

$\frac{j^{10} (3 j^{10})}{4 j^{10}}$

Cancel the common factors.

Factor $j^{10}$ out of $4 j^{10}$ .

$\frac{j^{10} (3 j^{10})}{j^{10} \cdot 4}$

Cancel the common factor.

$\frac{j^{10} (3 j^{10})}{j^{10} \cdot 4}$

Rewrite the expression.

$\frac{3 j^{10}}{4}$