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\left(a^{1}\times \frac{1}{b}\right)^{7}
Use the rules of exponents to simplify the expression.
\left(a^{1}\right)^{7}\times \left(\frac{1}{b}\right)^{7}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
a^{7}b^{-7}
To raise a power to another power, multiply the exponents.
a^{7}\times \frac{1}{b^{7}}
Multiply -1 times 7.
\left(a^{1}\times \frac{1}{b}\right)^{7}
Use the rules of exponents to simplify the expression.
\left(a^{1}\right)^{7}\times \left(\frac{1}{b}\right)^{7}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
a^{7}b^{-7}
To raise a power to another power, multiply the exponents.
a^{7}\times \frac{1}{b^{7}}
Multiply -1 times 7.