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\left(a^{-5}b^{2}\right)^{-6}
Use the rules of exponents to simplify the expression.
\left(a^{-5}\right)^{-6}\left(b^{2}\right)^{-6}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
a^{-5\left(-6\right)}b^{2\left(-6\right)}
To raise a power to another power, multiply the exponents.
a^{30}b^{2\left(-6\right)}
Multiply -5 times -6.
a^{30}\times \frac{1}{b^{12}}
Multiply 2 times -6.
\left(a^{-5}b^{2}\right)^{-6}
Use the rules of exponents to simplify the expression.
\left(a^{-5}\right)^{-6}\left(b^{2}\right)^{-6}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
a^{-5\left(-6\right)}b^{2\left(-6\right)}
To raise a power to another power, multiply the exponents.
a^{30}b^{2\left(-6\right)}
Multiply -5 times -6.
a^{30}\times \frac{1}{b^{12}}
Multiply 2 times -6.