Solve 2^-63^7/2^-53^9

$$\frac { 2 ^ { - 6 } 3 ^ { 7 } } { 2 ^ { - 5 } 3 ^ { 9 } }$$

Evaluate

$$\frac{1}{18}\approx 0.055555556$$

Solution Steps

Cancel out 3^{7} in both numerator and denominator.

$$\frac{2^{-6}}{2^{-5}\times 3^{2}}$$

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

$$\frac{1}{2^{1}\times 3^{2}}$$

Calculate 2 to the power of 1 and get 2.

$$\frac{1}{2\times 3^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{1}{2\times 9}$$

Multiply 2 and 9 to get 18.

$$\frac{1}{18}$$

Factor

$$\frac{1}{2 \cdot 3 ^ {2}} = 0.05555555555555555$$