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

a. 10.5x10power of -5

b. 1.05x10 power of -6

c. 10.5x10 power of 5

d. 1.05x10 power of 6

### 2 Answers by Expert Tutors

Jason T. | Jason Tutors Math & PhysicsJason Tutors Math & Physics
4.9 4.9 (152 lesson ratings) (152)
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(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.

Ramesh V. | Personalized and Effective tutoring in Math and SciencePersonalized and Effective tutoring in M...
4.0 4.0 (1 lesson ratings) (1)
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(2.5x 103) (4.2 x 102)

= (2.5 x 4.2) x ( 103+2 )

= 10.50 x 105

That is numerically equivalent but not in proper scientific notation.

Thanks!