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evaluate & express the solution in scientific notation (2.5x10cubed)(4.2x10squared)

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2 Answers

(2.5 x 103)(4.2 x 102) = (2.5)(4.2)(103)(102)

                         = 10.5 x 105      (Multiply exponential expressions with the same base; add the exponents)

So answer c is an equivalent value but is not in scientific notation. We need to change 10.5 to 1.05. To do this we are dividing by 10, so we have to multiply the exponential portion by 10 to make up for it. Therefore, the answer in scientific notation is 1.05 x 106 or answer d.