Answers 1
Answer:
m=35 if (1/5)^m×(1/4)^18 = 1/2×10^35
Step-by-step explanation:
[tex](1/5)^{m} X (1/4)^{18} =1/(2 X 10^{35} )[/tex] ;
⇒1/[tex]5^{m}[/tex]×1/[tex]2^{36}[/tex]=1/(2×[tex]2^{35}[/tex]×[tex]5^{35}[/tex]);
⇒1/[tex]5^{m}[/tex]×1/[tex]2^{36}[/tex]=1/([tex]2^{36}[/tex]×[tex]5^{35}[/tex]);
⇒1/[tex]5^{m}[/tex]=1/[tex]5^{35}[/tex];
⇒[tex]5^{m}[/tex]=[tex]5^{35}[/tex];
⇒m=35.
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Author:
emmaleeerip
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