Solve (1/2)^-3(1/3)^-2(1/4)^-2

$$( \frac { 1 } { 2 } ) ^ { - 3 } ( \frac { 1 } { 3 } ) ^ { - 2 } ( \frac { 1 } { 4 } ) ^ { - 2 }$$

Evaluate

$$1152$$

Solution Steps

Calculate \frac{1}{2} to the power of -3 and get 8.

$$8\times \left(\frac{1}{3}\right)^{-2}\times \left(\frac{1}{4}\right)^{-2}$$

Calculate \frac{1}{3} to the power of -2 and get 9.

$$8\times 9\times \left(\frac{1}{4}\right)^{-2}$$

Multiply 8 and 9 to get 72.

$$72\times \left(\frac{1}{4}\right)^{-2}$$

Calculate \frac{1}{4} to the power of -2 and get 16.

$$72\times 16$$

Multiply 72 and 16 to get 1152.

$$1152$$

Factor

$$2^{7}\times 3^{2}$$