Question

5 of 10
07:40



An expression is shown.
(4 × 104) × (3 × 10-2)
(6 × 106)


Which expression is equivalent?
A 2 × 104
B 2 × 106
C 2 × 105
D 2 × 10-4
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Answer 1

Interpret the expression as ((4 × 10^4) × (3 × 10^−2)) ÷ (6 × 10^6).

Compute numerator: 4×3 = 12 and 10^4 × 10^−2 = 10^2, so numerator = 12 × 10^2.

Divide by denominator: (12 ÷ 6) = 2 and 10^2 ÷ 10^6 = 10^(2−6) = 10^−4.

So the result is 2 × 10^−4 — answer D.