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\left(2w^{3}\right)^{6}
Use the rules of exponents to simplify the expression.
2^{6}\left(w^{3}\right)^{6}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
64\left(w^{3}\right)^{6}
Raise 2 to the power 6.
64w^{3\times 6}
To raise a power to another power, multiply the exponents.
64w^{18}
Multiply 3 times 6.
\left(2w^{3}\right)^{6}
Use the rules of exponents to simplify the expression.
2^{6}\left(w^{3}\right)^{6}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
64\left(w^{3}\right)^{6}
Raise 2 to the power 6.
64w^{3\times 6}
To raise a power to another power, multiply the exponents.
64w^{18}
Multiply 3 times 6.