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

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Answer 1 · 2018-01-16T10:45:29

Use a calculator. There's no shortcut.

Answer 2 · 2018-01-16T12:51:30

$2.1039×10^191$

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 $10^191.323037=10^191xx10^0.323037=2.1039xx10^191$

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