Solve 48^-9*12^12/4^-6

$$\frac { 48 ^ { - 9 } \cdot 12 ^ { 12 } } { 4 ^ { - 6 } }$$

Evaluate

$$27$$

Solution Steps

Calculate 48 to the power of -9 and get \frac{1}{1352605460594688}.

$$\frac{\frac{1}{1352605460594688}\times 12^{12}}{4^{-6}}$$

Calculate 12 to the power of 12 and get 8916100448256.

$$\frac{\frac{1}{1352605460594688}\times 8916100448256}{4^{-6}}$$

Multiply \frac{1}{1352605460594688} and 8916100448256 to get \frac{27}{4096}.

$$\frac{\frac{27}{4096}}{4^{-6}}$$

Calculate 4 to the power of -6 and get \frac{1}{4096}.

$$\frac{\frac{27}{4096}}{\frac{1}{4096}}$$

Divide \frac{27}{4096} by \frac{1}{4096} by multiplying \frac{27}{4096} by the reciprocal of \frac{1}{4096}.

$$\frac{27}{4096}\times 4096$$

Multiply \frac{27}{4096} and 4096 to get 27.

$$27$$

Factor

$$3^{3}$$