Answer
1.024 $\times$ $10^{13}$
Work Step by Step
You are given (4 $\times$ $10^{2}$$)^{5}$.Simplify the expression:
$4^{5}$ $\times$ ($10^{2}$$)^{5}$ -raise each term to the power 2-
1024 $\times$ $10^{10}$ -simplify the exponent and multiply the power to the power-
1.024 $\times$ $10^{13}$- move the decimal three places to the right and add 3 to the power so it is in scientific notation form-
The simplified expression is 1.024 $\times$ $10^{13}$