# How do you multiply (54) ^ { 68} \cdot ( - 13) ^ { 66}?

Jan 16, 2018

Use a calculator. There's no shortcut.

Jan 16, 2018

2.1039×10^191

#### Explanation:

I tried to use the calculator and is impossible due to the calculator limits.

let's use logarithms

I will use log as log base 10.

(54)^68⋅(−13)^66=(54)^68⋅(13)^66

log((54)^68⋅(13)^66)=68 log 54 +66 log13

117.8027757+73.52026125=191.323037

The resusult will be ${10}^{191.323037} = {10}^{191} \times {10}^{0.323037} = 2.1039 \times {10}^{191}$