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Answer:
B
Step-by-step explanation:
using the rules of exponents
• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
• [tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
• [tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
given
[tex]5^{8}[/tex] × [tex](5^{12}) ^{-4}[/tex]
= [tex]5^{8}[/tex] × [tex]5^{(12(-4))}[/tex]
= [tex]5^{8}[/tex] × [tex]5^{-48}[/tex]
= [tex]5^{(8-48)}[/tex]
= [tex]5^{-40}[/tex]
= [tex]\frac{1}{5^{40} }[/tex]
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Rewritten by : Barada
