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\left(4y^{5}\right)^{3}\times \left(3y^{1}\right)^{3}
Use the rules of exponents to simplify the expression.
4^{3}\left(y^{5}\right)^{3}\times 3^{3}\left(y^{1}\right)^{3}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
4^{3}\times 3^{3}\left(y^{5}\right)^{3}\left(y^{1}\right)^{3}
Use the Commutative Property of Multiplication.
4^{3}\times 3^{3}y^{5\times 3}y^{3}
To raise a power to another power, multiply the exponents.
4^{3}\times 3^{3}y^{15}y^{3}
Multiply 5 times 3.
4^{3}\times 3^{3}y^{15+3}
To multiply powers of the same base, add their exponents.
4^{3}\times 3^{3}y^{18}
Add the exponents 15 and 3.
64\times 3^{3}y^{18}
Raise 4 to the power 3.
64\times 27y^{18}
Raise 3 to the power 3.
1728y^{18}
Multiply 64 times 27.
\left(4y^{5}\right)^{3}\times \left(3y^{1}\right)^{3}
Use the rules of exponents to simplify the expression.
4^{3}\left(y^{5}\right)^{3}\times 3^{3}\left(y^{1}\right)^{3}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
4^{3}\times 3^{3}\left(y^{5}\right)^{3}\left(y^{1}\right)^{3}
Use the Commutative Property of Multiplication.
4^{3}\times 3^{3}y^{5\times 3}y^{3}
To raise a power to another power, multiply the exponents.
4^{3}\times 3^{3}y^{15}y^{3}
Multiply 5 times 3.
4^{3}\times 3^{3}y^{15+3}
To multiply powers of the same base, add their exponents.
4^{3}\times 3^{3}y^{18}
Add the exponents 15 and 3.
64\times 3^{3}y^{18}
Raise 4 to the power 3.
64\times 27y^{18}
Raise 3 to the power 3.
1728y^{18}
Multiply 64 times 27.