Basic Math Examples

$- 2 n \div {(y n^{4})}^{4}$

Step 1

Rewrite the division as a fraction.

$\frac{- 2 n}{{(y n^{4})}^{4}}$

Step 2

Simplify the denominator.

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Step 2.1

Apply the product rule to $y n^{4}$ .

$\frac{- 2 n}{y^{4} {(n^{4})}^{4}}$

Step 2.2

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

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Step 2.2.1

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

$\frac{- 2 n}{y^{4} n^{4 \cdot 4}}$

Step 2.2.2

Multiply $4$ by $4$ .

$\frac{- 2 n}{y^{4} n^{16}}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

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

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Step 3.1.1

Factor $n$ out of $- 2 n$ .

$\frac{n \cdot - 2}{y^{4} n^{16}}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $n$ out of $y^{4} n^{16}$ .

$\frac{n \cdot - 2}{n (y^{4} n^{15})}$

Step 3.1.2.2

Cancel the common factor.

$\frac{n \cdot - 2}{n (y^{4} n^{15})}$

Step 3.1.2.3

Rewrite the expression.

$\frac{- 2}{y^{4} n^{15}}$

Step 3.2

Move the negative in front of the fraction.

$- \frac{2}{y^{4} n^{15}}$