Algebra Examples

{(\frac{1}{3 y^{3}})}^{- 3}

${(\frac{1}{3 y^{3}})}^{- 3}$

Step 1

Change the sign of the exponent by rewriting the base as its reciprocal.

{(3 y^{3})}^{3}

${(3 y^{3})}^{3}$

Step 2

Apply the product rule to

3 y^{3}

$3 y^{3}$ .

3^{3} {(y^{3})}^{3}

$3^{3} {(y^{3})}^{3}$

Step 3

Raise

3

$3$ to the power of

3

$3$ .

27 {(y^{3})}^{3}

$27 {(y^{3})}^{3}$

Step 4

Multiply the exponents in

{(y^{3})}^{3}

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

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Step 4.1

Apply the power rule and multiply exponents,

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

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

27 y^{3 \cdot 3}

$27 y^{3 \cdot 3}$

Step 4.2

Multiply

3

$3$ by

3

$3$ .

27 y^{9}

$27 y^{9}$

27 y^{9}

$27 y^{9}$