Algebra Examples

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

Step 1

Simplify the denominator.

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Step 1.1

Apply the product rule to $2 j^{4}$ .

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

Step 1.2

Raise $2$ to the power of $4$ .

$\frac{5 j^{4}}{16 {(j^{4})}^{4}}$

Step 1.3

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

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Step 1.3.1

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

$\frac{5 j^{4}}{16 j^{4 \cdot 4}}$

Step 1.3.2

Multiply $4$ by $4$ .

$\frac{5 j^{4}}{16 j^{16}}$

Step 2

Cancel the common factor of $j^{4}$ and $j^{16}$ .

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Step 2.1

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

$\frac{j^{4} \cdot 5}{16 j^{16}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $j^{4}$ out of $16 j^{16}$ .

$\frac{j^{4} \cdot 5}{j^{4} (16 j^{12})}$

Step 2.2.2

Cancel the common factor.

$\frac{j^{4} \cdot 5}{j^{4} (16 j^{12})}$

Step 2.2.3

Rewrite the expression.

$\frac{5}{16 j^{12}}$