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

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Answer 1 · 2018-04-12T09:05:35

Keeping the solution in the same format as the question:

$5.0xx10^14$

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

$color(brown)("Note that "1/10^(-7)" is the same as "10^7$
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Write as: $(cancel(3)^1xx10^8xx10^7)/cancel(6)^2 = 10^(15)/2 = 1/2xx10^15$

but $1/2 = 0.5$

$0.5xx10^15$

$5.0xx10^14$

Answer 2 · 2018-04-12T09:06:18

$5xx10^15$

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 $5xx10^15$

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