Solve 5^2*4^-3/5^3*4^2

$$\frac { 5 ^ { 2 } \cdot 4 ^ { - 3 } } { 5 ^ { 3 } \cdot 4 ^ { 2 } }$$

Evaluate

$$\frac{1}{5120}=0.000195312$$

Solution Steps

Cancel out 5^{2} in both numerator and denominator.

$$\frac{4^{-3}}{5\times 4^{2}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{1}{5\times 4^{5}}$$

Calculate 4 to the power of 5 and get 1024.

$$\frac{1}{5\times 1024}$$

Multiply 5 and 1024 to get 5120.

$$\frac{1}{5120}$$

Factor

$$\frac{1}{2 ^ {10} \cdot 5} = 0.0001953125$$