Solve (2^-3)^3/8.2^-15

$$\frac { ( 2 ^ { - 3 } ) ^ { 3 } } { 8.2 ^ { - 15 } }$$

Evaluate

$$99526292159.458426296870464$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply -3 and 3 to get -9.

$$\frac{2^{-9}}{8.2^{-15}}$$

Calculate 2 to the power of -9 and get \frac{1}{512}.

$$\frac{\frac{1}{512}}{8.2^{-15}}$$

Calculate 8.2 to the power of -15 and get \frac{30517578125}{1555098314991537910888601}.

$$\frac{\frac{1}{512}}{\frac{30517578125}{1555098314991537910888601}}$$

Express \frac{\frac{1}{512}}{\frac{30517578125}{1555098314991537910888601}} as a single fraction.

$$\frac{1}{512\times \frac{30517578125}{1555098314991537910888601}}$$

Multiply 512 and \frac{30517578125}{1555098314991537910888601} to get \frac{15625000000000}{1555098314991537910888601}.

$$\frac{1}{\frac{15625000000000}{1555098314991537910888601}}$$

Factor

$$\frac{41 ^ {15}}{2 ^ {9} \cdot 5 ^ {15}} = 99526292159\frac{7162934565376}{15625000000000} = 99526292159.45844$$