# Question #71fb5

May 15, 2017

$= {1190}^{5} + {3456}^{5}$

#### Explanation:

It seems to me that there is very little point in calculating the exact value of this calculation, the answer is going be absolutely HUGE!!

It will be of more value if we can write it simply and know what the number is made up of.

Lets use laws of indices:

${x}^{m} \times {y}^{m} = {\left(x y\right)}^{m}$

So, $\left({34}^{5} \times {35}^{5}\right) + \left({54}^{5} \times {64}^{5}\right)$ can also be written as:

${\left(34 \times 35\right)}^{5} + {\left(54 \times 64\right)}^{5}$

$= {1190}^{5} + {3456}^{5}$

Fom this point you would need a calculator or computor to calculate the actual answer.