Solve 5^56*5^22*5^-96

$$5 ^ { 56 } \times 5 ^ { 22 } \times 5 ^ { - 96 }$$

Evaluate

$$\frac{1}{3814697265625}=2.62144 \cdot 10^{-13}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 56 and 22 to get 78.

$$5^{78}\times 5^{-96}$$

To multiply powers of the same base, add their exponents. Add 78 and -96 to get -18.

$$5^{-18}$$

Calculate 5 to the power of -18 and get \frac{1}{3814697265625}.

$$\frac{1}{3814697265625}$$

Factor

$$\frac{1}{5 ^ {18}} = 2.62144 \times 10^{-13}$$