Simplify (5h^4)/(2(h^2)^5)

$\frac{5 h^{4}}{2 {(h^{2})}^{5}}$

Step 1

Multiply the exponents in ${(h^{2})}^{5}$ .

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

$\frac{5 h^{4}}{2 h^{2 \cdot 5}}$

Multiply $2$ by $5$ .

$\frac{5 h^{4}}{2 h^{10}}$

Step 2

Cancel the common factor of $h^{4}$ and $h^{10}$ .

Factor $h^{4}$ out of $5 h^{4}$ .

$\frac{h^{4} \cdot 5}{2 h^{10}}$

Cancel the common factors.

Factor $h^{4}$ out of $2 h^{10}$ .

$\frac{h^{4} \cdot 5}{h^{4} (2 h^{6})}$

Cancel the common factor.

$\frac{h^{4} \cdot 5}{h^{4} (2 h^{6})}$

Rewrite the expression.

$\frac{5}{2 h^{6}}$