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Find the value of (107×103)÷(103×102)]÷105(10^7 \times 10^3) \div (10^3 \times 10^2)] \div 10^5(107×103)÷(103×102)]÷105​
Question

Find the value of (107×103)÷(103×102)]÷105(10^7 \times 10^3) \div (10^3 \times 10^2)] \div 10^5

A.

100

B.

200

C.

2

D.

1

Correct option is D

(107×103)÷(103×102)]÷105(10^7 \times 10^3) \div (10^3 \times 10^2)] \div 10^5​​

Numerator:107×103=101010^7 \times 10^3 = 10^{10}
Denominator inside brackets:

103×102=10510^3 \times 10^2 = 10^5

So now:

(1010÷105)÷105=105÷105=1055=100=1(10^{10} \div 10^5) \div 10^5 = 10^5 \div 10^5 = 10^{5 - 5} = 10^0 = 1

Thus the correct answer is option D) 1

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