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How to simplify #(3times10^8)/(6times10^ -7)# in scientific notation?

Answer 1

Avery Alexander

#5xx10^15#

Deal with the whole numbers#=># #3/6=#0.5

When dividing like terms with powers we simply subtract the

powers #=># #10^8/(10^-7)#. #=>#8-(-7) = 8+7= 15

#10^8/(10^-7)# =#10^15#

#(3xx10^8)/(6xx10^(-7))# = #0.5xx10^15#

This is 5 with 14 zeros after it 500,000,000,000,000

In scientific form #5xx10^15#

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Answer 2

Hazel Anglin

Keeping the solution in the same format as the question:

#5.0xx10^14#

#color(brown)("They are testing your observation with this one.")#

#color(brown)("Note that "1/10^(-7)" is the same as "10^7# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Write as: #(cancel(3)^1xx10^8xx10^7)/cancel(6)^2 = 10^(15)/2 = 1/2xx10^15#

but #1/2 = 0.5#

#0.5xx10^15#

#5.0xx10^14#

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Answer 3

Julia Adams

To simplify ( \frac{3 \times 10^8}{6 \times 10^{-7}} ) in scientific notation, divide the coefficients and subtract the exponents: ( \frac{3}{6} \times 10^{8 - (-7)} ). Simplifying further, you get ( 0.5 \times 10^{8 + 7} ), which equals ( 5 \times 10^{15} ) in scientific notation.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.