Solve 15x^6y^-9/5xy^-11

Evaluate

15 x^{6} \times \frac{y ^{- 9}}{5} x y^{- 11}

Rewrite the expression

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15 x^{6} \times \frac{1}{5 y ^{9}} \times x y^{- 11}

Multiply the terms with the same base by adding their exponents

15 x^{6 + 1} \times \frac{1}{5 y ^{9}} \times y^{- 11}

Add the numbers

15 x^{7} \times \frac{1}{5 y ^{9}} \times y^{- 11}

Multiply the terms

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\frac{3 x ^{7}}{y ^{9}} \times y^{- 11}

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

\frac{3 x ^{7}}{y ^{9}} \times \frac{1}{y ^{11}}

Multiply the terms

\frac{3 x ^{7}}{y ^{9} \times y ^{11}}

Solution

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\frac{3 x ^{7}}{y ^{20}}

Simplify the expression