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​Find the value of 37−14÷374×37−12\text{Find the value of } 37^{-14} \div 37^{4} \times 37^{-12}Find the value of&n
Question

Find the value of 3714÷374×3712\text{Find the value of } 37^{-14} \div 37^{4} \times 37^{-12}​​

A.

373037^{-30}​​

B.

372037^{-20}​​

C.

373837^{-38}​​

D.

372437^{-24}​​

Correct option is A

Given:

3714÷374×371237^{-14} \div 37^{4} \times 37^{-12}

Formula Used:

am÷\div  an = a m-n 

a×\times  a= am+n

Solution:

3714÷374×3712 =37144×3712 =3718×3712 =371812 =373037^{-14} \div 37^{4} \times 37^{-12} \\ \ \\ =37^{-14-4} \times 37^{-12}\\ \ \\ =37^{-18} \times 37^{-12}\\ \ \\ = 37^{-18-12}\\ \ \\ = 37^{-30}

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