Solve 3/8(144)^-frac{5{2}}

$$\frac { 3 } { 8 } ( 144 ) ^ { - \frac { 5 } { 2 } }$$

Evaluate

$$\frac{1}{663552}\approx 0.000001507$$

Solution Steps

Calculate 144 to the power of -\frac{5}{2} and get \frac{1}{248832}.

$$\frac{3}{8}\times \frac{1}{248832}$$

Multiply \frac{3}{8} and \frac{1}{248832} to get \frac{1}{663552}.

$$\frac{1}{663552}$$

Factor

$$\frac{1}{2 ^ {13} \cdot 3 ^ {4}} = 1.5070408950617284 \times 10^{-6}$$