Solve 0x^{5}y^3(3x^4y^5)^3

$$0 x ^ { 5 } y ^ { 3 } ( 3 x ^ { 4 } y ^ { 5 } ) ^ { 3 }$$

Evaluate

$$0$$

Solution Steps

Expand \left(3x^{4}y^{5}\right)^{3}.

$$0x^{5}y^{3}\times 3^{3}\left(x^{4}\right)^{3}\left(y^{5}\right)^{3}$$

To raise a power to another power, multiply the exponents. Multiply 4 and 3 to get 12.

$$0x^{5}y^{3}\times 3^{3}x^{12}\left(y^{5}\right)^{3}$$

To raise a power to another power, multiply the exponents. Multiply 5 and 3 to get 15.

$$0x^{5}y^{3}\times 3^{3}x^{12}y^{15}$$

Calculate 3 to the power of 3 and get 27.

$$0x^{5}y^{3}\times 27x^{12}y^{15}$$

Multiply 0 and 27 to get 0.

$$0x^{5}y^{3}x^{12}y^{15}$$

To multiply powers of the same base, add their exponents. Add 5 and 12 to get 17.

$$0x^{17}y^{3}y^{15}$$

To multiply powers of the same base, add their exponents. Add 3 and 15 to get 18.

$$0x^{17}y^{18}$$

Anything times zero gives zero.

$$0$$

Factor

$$0$$