Answer
$1.024 \times 10^{13}$
Work Step by Step
RECALL:
(i) $(ab)^m=a^mb^m$
(ii) $(a^m)^n=a^{mn}$
Use the rules above to obtain:
$=4^5 \times (10^2)^5
\\=1024 \times 10^{2\cdot 5}
\\=1.024(10^3) \times 10^{10}
\\=1.024 \times 10^{3+10}
\\=1.024 \times 10^{13}$
