Solve (1/e^5)^-3

$$( \frac { 1 } { e ^ { 5 } } ) ^ { - 3 }$$

Evaluate

$$e^{15}\approx 3269017.372472108$$

Steps for Raising Power to Another Power

To raise \frac{1}{e^{5}} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{1^{-3}}{\left(e^{5}\right)^{-3}}$$

To raise a power to another power, multiply the exponents. Multiply 5 and -3 to get -15.

$$\frac{1^{-3}}{e^{-15}}$$

Calculate 1 to the power of -3 and get 1.

$$\frac{1}{e^{-15}}$$

To raise a power to another power, multiply the exponents.

$$e^{-15\left(-1\right)}$$

Multiply -15 times -1.

$$e^{15}$$