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\left(a^{7}\right)^{-2}
To multiply powers of the same base, add their exponents. Add 3 and 4 to get 7.
a^{7\left(-2\right)}
To raise a power to another power, multiply the exponents.
\frac{1}{a^{14}}
Multiply 7 times -2.
\left(a^{7}\right)^{-2}
To multiply powers of the same base, add their exponents. Add 3 and 4 to get 7.
a^{7\left(-2\right)}
To raise a power to another power, multiply the exponents.
\frac{1}{a^{14}}
Multiply 7 times -2.