Question

Which shows the expression below simplified?

0.00048 ÷ (6 × 10^-4)

Question 5 options:

8 × 10-2


8 × 10-1


8 × 101


8 × 100

Answer 1

$0.00048\div(6\times10^{-4})=(48\cdot10^{-5})\div(6\cdot10^{-4})\\\\=(48:6)\cdot(10^{-5}:10^{-4})=8\cdot10^{-5-(-4)}=\boxed{8\cdot10^{-1}}\\\\Used:\\\\a^n:a^m=a^{n-m}$

Answer 2

The simplified expression of 0.00048 ÷ (6 × 10^-4) is Option(B) $8 * 10^{-1}$

Property of exponent -

• $a^{m}.a^{n} = a^{m + n}$
• $\frac{a^{m} }{a^{n} } = a^{m-n}$

How to simplify the given expression ?

Given expression is - 0.00048 ÷ (6 × 10^-4)

We have = $(48 * 10^{-5}) / (6 * 10^{-4} )$

= $\frac{48 * 10^{-5} }{6 * 10^{-4} }$

= $8 * 10^{-1}$  [Using the above mentioned properties]

Therefore the simplified expression is Option(B) $8 * 10^{-1}$ .

To learn more about simplifying expression, refer -

https://brainly.com/question/1280754

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