Solve (k^(-12)m^(12)n^(5))^(-5)

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Example problems

Type your math problem... (k^(-12)m^(12)n^(5))^(-5)

Question

Simplify the expression

\frac{k ^{60}}{m ^{60} n ^{25}}

Evaluate

(k^{- 12} m^{12} n^{5})^{- 5}

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

(k^{- 12})^{- 5} (m^{12})^{- 5} (n^{5})^{- 5}

Evaluate the power

More Steps

Evaluate

(k^{- 12})^{- 5}

Multiply the exponents

k^{- 12 (- 5)}

Multiply the terms

k^{60}

k^{60} (m^{12})^{- 5} (n^{5})^{- 5}

Evaluate the power

More Steps

Evaluate

(m^{12})^{- 5}

Multiply the exponents

m^{12 (- 5)}

Multiply the terms

m^{- 60}

k^{60} m^{- 60} (n^{5})^{- 5}

Evaluate the power

More Steps

Evaluate

(n^{5})^{- 5}

Multiply the exponents

n^{5 (- 5)}

Multiply the terms

n^{- 25}

k^{60} m^{- 60} n^{- 25}

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

k^{60} \times \frac{1}{m ^{60}} \times n^{- 25}

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

k^{60} \times \frac{1}{m ^{60}} \times \frac{1}{n ^{25}}

Solution

\frac{k ^{60}}{m ^{60} n ^{25}}

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