How do you simplify $\frac{5.184 \times 10^{- 5}}{7.2 \times 10^{3}}$ $(5.184times10^-5)/(7.2times10^3)$ ?

Question

How do you simplify $\frac{5.184 \times 10^{- 5}}{7.2 \times 10^{3}}$ $(5.184times10^-5)/(7.2times10^3)$ ?

1 Answer

Impact of this question

1602 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-26T20:31:32

See the entire simplification process below:

Explanation:

First, rewrite this expression as:

$(\frac{5.184}{7.2}) \times (\frac{10^{- 5}}{10^{3}}) = 0.72 \times (\frac{10^{- 5}}{10^{3}})$ $(5.184/7.2) xx (10^-5/10^3) = 0.72 xx (10^-5/10^3)$

Now, use this rule of exponents to simplify the 10s terms:

$\frac{x^{a}}{x^{b}} = x^{a - b}$ $x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))$

$0.72 \times (\frac{10^{- 5}}{10^{3}}) = 0.72 \times 10^{- 5 - 3} =$ $0.72 xx (10^color(red)(-5)/10^color(blue)(3)) = 0.72 xx 10^(color(red)(-5)-color(blue)(3)) =$

$0.72 \times 10^{- 8}$ $0.72 xx 10^-8$

Or

$7.2 \times 10^{- 9}$ $7.2 xx 10^-9$

Science

Math

Humanities

... and beyond

How do you simplify $\frac{5.184 \times 10^{- 5}}{7.2 \times 10^{3}}$ $(5.184times10^-5)/(7.2times10^3)$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify 5.184×10−57.2×103(5.184times10^-5)/(7.2times10^3)?

1 Answer

Explanation:

Related questions

Impact of this question

How do you simplify $\frac{5.184 \times 10^{- 5}}{7.2 \times 10^{3}}$ $(5.184times10^-5)/(7.2times10^3)$ ?