Basic Math Examples

{(4 c^{3})}^{- 3}

${(4 c^{3})}^{- 3}$

Step 1

Rewrite the expression using the negative exponent rule

b^{- n} = \frac{1}{b^{n}}

$b^{- n} = \frac{1}{b^{n}}$ .

\frac{1}{{(4 c^{3})}^{3}}

$\frac{1}{{(4 c^{3})}^{3}}$

Step 2

Simplify the denominator.

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Step 2.1

Apply the product rule to

4 c^{3}

$4 c^{3}$ .

\frac{1}{4^{3} {(c^{3})}^{3}}

$\frac{1}{4^{3} {(c^{3})}^{3}}$

Step 2.2

Raise

4

$4$ to the power of

3

$3$ .

\frac{1}{64 {(c^{3})}^{3}}

$\frac{1}{64 {(c^{3})}^{3}}$

Step 2.3

Multiply the exponents in

{(c^{3})}^{3}

${(c^{3})}^{3}$ .

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Step 2.3.1

Apply the power rule and multiply exponents,

{(a^{m})}^{n} = a^{m n}

${(a^{m})}^{n} = a^{m n}$ .

\frac{1}{64 c^{3 \cdot 3}}

$\frac{1}{64 c^{3 \cdot 3}}$

Step 2.3.2

Multiply

3

$3$ by

3

$3$ .

\frac{1}{64 c^{9}}

$\frac{1}{64 c^{9}}$

\frac{1}{64 c^{9}}

$\frac{1}{64 c^{9}}$

\frac{1}{64 c^{9}}

$\frac{1}{64 c^{9}}$