Solve 4x*2x^2*left(-3xyright)^3

$$4x \times 2 { x }^{ 2 } \times { \left(-3xy \right) }^{ 3 }$$

Evaluate

$$-216y^{3}x^{6}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$4x^{3}\times 2\left(-3xy\right)^{3}$$

Multiply 4 and 2 to get 8.

$$8x^{3}\left(-3xy\right)^{3}$$

Expand \left(-3xy\right)^{3}.

$$8x^{3}\left(-3\right)^{3}x^{3}y^{3}$$

Calculate -3 to the power of 3 and get -27.

$$8x^{3}\left(-27\right)x^{3}y^{3}$$

Multiply 8 and -27 to get -216.

$$-216x^{3}x^{3}y^{3}$$

To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.

$$-216x^{6}y^{3}$$

Expand

$$-216y^{3}x^{6}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$4x^{3}\times 2\left(-3xy\right)^{3}$$

Multiply 4 and 2 to get 8.

$$8x^{3}\left(-3xy\right)^{3}$$

Expand \left(-3xy\right)^{3}.

$$8x^{3}\left(-3\right)^{3}x^{3}y^{3}$$

Calculate -3 to the power of 3 and get -27.

$$8x^{3}\left(-27\right)x^{3}y^{3}$$

Multiply 8 and -27 to get -216.

$$-216x^{3}x^{3}y^{3}$$

To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.

$$-216x^{6}y^{3}$$