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Simplify \(\frac{(1.25 \times 10^{-4}) \times (2.0 \times 10...

Simplify $\frac{(1.25 \times 10^{-4}) \times (2.0 \times 10^{-1})}{(6.25 \times 10^5)}$

A.

4.0 x 10^-3

B.

5.0 x 10^-2

C.

2.0 x 10^-1

D.

5.0 x 10^-3

View answer & explanation

Correct answer is A

$\frac{(1.25 \times 10^{-4}) \times (2.0 \times 10^{-1})}{(6.25 \times 10^5)}$ = $\frac{1.25 \times 2}{6.25}$ x 10^{4 - 1 - 5}

$\frac{2.50}{6.25}$ x 10^-2 = $\frac{250}{625}$ x 10^-2

0.4 x 10^-2 = 4.0 x 10^-3

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