Solve (- (2p^(-1)q^(3))/q )^(3)

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Type your math problem... (- (2p^(-1)q^(3))/q )^(3)

Question

Simplify the expression

- \frac{8 q ^{6}}{p ^{3}}

Evaluate

(- \frac{2 p ^{- 1} q ^{3}}{q})^{3}

Reduce the fraction

More Steps

Evaluate

\frac{2 p ^{- 1} q ^{3}}{q}

Reduce the fraction

More Steps

Calculate

\frac{q ^{3}}{q}

Use the product rule \frac{a ^{n}}{a ^{m}} = a^{n - m} to simplify the expression

q^{3 - 1}

Subtract the terms

q^{2}

2 p^{- 1} q^{2}

Express with a positive exponent using a^{- n} = \frac{1}{a ^{n}}

2 \times \frac{1}{p} \times q^{2}

Rewrite the expression

\frac{2 q ^{2}}{p}

(- \frac{2 q ^{2}}{p})^{3}

Rewrite the expression

\frac{( - 2 q ^{2} ) ^{3}}{p ^{3}}

Evaluate the power

More Steps

Evaluate

(- 2 q^{2})^{3}

Determine the sign

- (2 q^{2})^{3}

To raise a product to a power,raise each factor to that power

- 2^{3} (q^{2})^{3}

Evaluate the power

- 8 (q^{2})^{3}

Evaluate the power

More Steps

Evaluate

(q^{2})^{3}

Multiply the exponents

q^{2 \times 3}

Multiply the terms

q^{6}

- 8 q^{6}

\frac{- 8 q ^{6}}{p ^{3}}

Solution

- \frac{8 q ^{6}}{p ^{3}}

Show Solution

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