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\left(3x^{7}\right)^{-2}
Use the rules of exponents to simplify the expression.
3^{-2}\left(x^{7}\right)^{-2}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
\frac{1}{9}\left(x^{7}\right)^{-2}
Raise 3 to the power -2.
\frac{1}{9}x^{7\left(-2\right)}
To raise a power to another power, multiply the exponents.
\frac{1}{9}\times \frac{1}{x^{14}}
Multiply 7 times -2.
\left(3x^{7}\right)^{-2}
Use the rules of exponents to simplify the expression.
3^{-2}\left(x^{7}\right)^{-2}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
\frac{1}{9}\left(x^{7}\right)^{-2}
Raise 3 to the power -2.
\frac{1}{9}x^{7\left(-2\right)}
To raise a power to another power, multiply the exponents.
\frac{1}{9}\times \frac{1}{x^{14}}
Multiply 7 times -2.