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\left(3x^{5}z^{1}\right)^{5}
Use the rules of exponents to simplify the expression.
3^{5}\left(x^{5}\right)^{5}\left(z^{1}\right)^{5}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
243\left(x^{5}\right)^{5}\left(z^{1}\right)^{5}
Raise 3 to the power 5.
243x^{5\times 5}z^{5}
To raise a power to another power, multiply the exponents.
243x^{25}z^{5}
Multiply 5 times 5.
\left(3x^{5}z^{1}\right)^{5}
Use the rules of exponents to simplify the expression.
3^{5}\left(x^{5}\right)^{5}\left(z^{1}\right)^{5}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
243\left(x^{5}\right)^{5}\left(z^{1}\right)^{5}
Raise 3 to the power 5.
243x^{5\times 5}z^{5}
To raise a power to another power, multiply the exponents.
243x^{25}z^{5}
Multiply 5 times 5.