Solve 20^-12*5^13/4^-14

$$\frac { 20 ^ { - 12 } \cdot 5 ^ { 13 } } { 4 ^ { - 14 } }$$

Evaluate

$$80$$

Solution Steps

Calculate 20 to the power of -12 and get \frac{1}{4096000000000000}.

$$\frac{\frac{1}{4096000000000000}\times 5^{13}}{4^{-14}}$$

Calculate 5 to the power of 13 and get 1220703125.

$$\frac{\frac{1}{4096000000000000}\times 1220703125}{4^{-14}}$$

Multiply \frac{1}{4096000000000000} and 1220703125 to get \frac{5}{16777216}.

$$\frac{\frac{5}{16777216}}{4^{-14}}$$

Calculate 4 to the power of -14 and get \frac{1}{268435456}.

$$\frac{\frac{5}{16777216}}{\frac{1}{268435456}}$$

Divide \frac{5}{16777216} by \frac{1}{268435456} by multiplying \frac{5}{16777216} by the reciprocal of \frac{1}{268435456}.

$$\frac{5}{16777216}\times 268435456$$

Multiply \frac{5}{16777216} and 268435456 to get 80.

$$80$$

Factor

$$2^{4}\times 5$$