Algebra Examples

$- \frac{5 c^{- 2}}{- 4 {(c^{4})}^{4}}$

Step 1

Move $c^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$- \frac{5}{- 4 {(c^{4})}^{4} c^{2}}$

Step 2

Simplify the denominator.

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Step 2.1

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

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Step 2.1.1

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

$- \frac{5}{- 4 c^{4 \cdot 4} c^{2}}$

Step 2.1.2

Multiply $4$ by $4$ .

$- \frac{5}{- 4 c^{16} c^{2}}$

Step 2.2

Multiply $c^{16}$ by $c^{2}$ by adding the exponents.

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Step 2.2.1

Move $c^{2}$ .

$- \frac{5}{- 4 (c^{2} c^{16})}$

Step 2.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$- \frac{5}{- 4 c^{2 + 16}}$

Step 2.2.3

Add $2$ and $16$ .

$- \frac{5}{- 4 c^{18}}$

Step 3

Move the negative in front of the fraction.

$- - \frac{5}{4 c^{18}}$

Step 4

Multiply $- - \frac{5}{4 c^{18}}$ .

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Step 4.1

Multiply $- 1$ by $- 1$ .

$1 \frac{5}{4 c^{18}}$

Step 4.2

Multiply $\frac{5}{4 c^{18}}$ by $1$ .

$\frac{5}{4 c^{18}}$