Solve 2^-33^-5/3^-52^5

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

Evaluate

$$\frac{1}{256}=0.00390625$$

Solution Steps

Cancel out 3^{-5} in both numerator and denominator.

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

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

$$\frac{1}{2^{8}}$$

Calculate 2 to the power of 8 and get 256.

$$\frac{1}{256}$$

Factor

$$\frac{1}{2 ^ {8}} = 0.00390625$$