Solve (-4)^3x(-2)^3<4^3*2^3

$$( - 4 ) ^ { 3 } x ( - 2 ) ^ { 3 } < 4 ^ { 3 } \times 2 ^ { 3 }$$

Solve for x

$$x<1$$

Solution Steps

Calculate -4 to the power of 3 and get -64.

$$-64x\left(-2\right)^{3}<4^{3}\times 2^{3}$$

Calculate -2 to the power of 3 and get -8.

$$-64x\left(-8\right)<4^{3}\times 2^{3}$$

Multiply -64 and -8 to get 512.

$$512x<4^{3}\times 2^{3}$$

Calculate 4 to the power of 3 and get 64.

$$512x<64\times 2^{3}$$

Calculate 2 to the power of 3 and get 8.

$$512x<64\times 8$$

Multiply 64 and 8 to get 512.

$$512x<512$$

Divide both sides by 512. Since 512 is positive, the inequality direction remains the same.

$$x<\frac{512}{512}$$

Divide 512 by 512 to get 1.

$$x<1$$