Question

Find the product of (5.2 · 10-6) and (8 · 103).

Answer 1

Hey there!

Here is your answer:

The proper answer to this question is "44.2 and 824".

Reason:

5.2
×
10
____
50.2-6=44.2

Also.....

103
×
8
____
824

(3×8=24, 0×8=0, 1×8=8)

Therefore the answers are: 44.2 and 824!

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Answer 2

Answer:
`41.6*10^2`

Explanation:

The given expressions :
`(5.2\cdot10^(-6))\ and\ (8\cdot10^3)`

Now, consider product :
`(5.2\cdot10^(-6))* (8\cdot10^3)`

Open parenthesis, we get

`5.2\cdot10^(-6)* 8\cdot10^3\\\\=5.2*8*10^(-6)*10^(8)`

Using multiplication law of exponent with same base :

`a^m* a^n=a^(m+n)`

`\Rightarrow5.2*8*10^(-6)*10^(8)\\\\=41.6*10^(-6+8)\\\\=41.6*10^2`

Hence, the product of
`(5.2\cdot10^(-6))\ and\ (8\cdot10^3)=41.6*10^2`