Skip to main content
Evaluate
Tick mark Image
Expand
Tick mark Image

Similar Problems from Web Search

Share

\frac{x^{12}y^{-21}}{\left(x^{4}\right)^{5}\left(y^{-6}\right)^{5}}
Expand \left(x^{4}y^{-6}\right)^{5}.
\frac{x^{12}y^{-21}}{x^{20}\left(y^{-6}\right)^{5}}
To raise a power to another power, multiply the exponents. Multiply 4 and 5 to get 20.
\frac{x^{12}y^{-21}}{x^{20}y^{-30}}
To raise a power to another power, multiply the exponents. Multiply -6 and 5 to get -30.
\frac{y^{-21}}{y^{-30}x^{8}}
Cancel out x^{12} in both numerator and denominator.
\frac{y^{9}}{x^{8}}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{x^{12}y^{-21}}{\left(x^{4}\right)^{5}\left(y^{-6}\right)^{5}}
Expand \left(x^{4}y^{-6}\right)^{5}.
\frac{x^{12}y^{-21}}{x^{20}\left(y^{-6}\right)^{5}}
To raise a power to another power, multiply the exponents. Multiply 4 and 5 to get 20.
\frac{x^{12}y^{-21}}{x^{20}y^{-30}}
To raise a power to another power, multiply the exponents. Multiply -6 and 5 to get -30.
\frac{y^{-21}}{y^{-30}x^{8}}
Cancel out x^{12} in both numerator and denominator.
\frac{y^{9}}{x^{8}}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.