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​Find the value of 34−10÷347×34−11\text{Find the value of } 34^{-10} \div 34^7 \times 34^{-11}Find the value of&nbs
Question

Find the value of 3410÷347×3411\text{Find the value of } 34^{-10} \div 34^7 \times 34^{-11}​​

A.

3437 34^{-37} \quad​​

B.

3428 34^{-28} \quad​​

C.

3434 34^{-34} \quad​​

D.

3433 34^{-33}​​

Correct option is B

Given:

3410÷347×341134^{-10} \div 34^7 \times 34^{-11}

Formula Used:

am÷\div  an = am-n ,

am×\times  an = am+n

Solution: 

3410÷347×3411 =34107×3411 =3417×3411 =341711 =342834^{-10} \div 34^7 \times 34^{-11} \\ \ \\=34^{-10-7} \times 34^{-11}\\ \ \\=34^{-17} \times 34^{-11}\\ \ \\=34^{-17-11} \\ \ \\=34^{-28}​​

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