Math, asked by LeoOO7, 11 months ago

What is the answer of
 {36}^{24} \div  {24}^{36}

Answers

Answered by Anonymous
3
\textbf{Answer}

We need to find the value of,

(36)^(24) ÷ (24)^(36)

We know that,
36 = 2×2×3×3
24 = 2×2×2×3

Lets comeback to the given terms,
(36)^(24) ÷ (24)^(36)

= (2×2×3×3)^(24) ÷ (2×2×2×3)^36

= {(2)^2 × (3)^2}^24 ÷ {(2)^3 × (3)^1}^(36)}

= {(2)^48 × (3)^(48)} ÷ {(2)^(108) × (3)^(36)}

= (3)^(48-36) ÷ (2)^(108-48)

= (3)^(12) ÷ (2)^(60)

So
 {36}^{24} \div {24}^{36} = {3}^{12} \div {2}^{60}

\textbf{Hope It Helps}

\textbf{Thanks}
Answered by User8ba24
29
Thanks for the asking question

36^24÷24^36

=> 3^12÷2^60

I hope it's help you
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