Please help I will Medal!

Write the expression shown as one scientific number.

(8 x 10^2)(7.5 x 10^4)
_______________________
5 x 10^2

I honestly don't know how to do this. If someone could help and give me an explanation that would help a lot.

Question

Please help I will Medal!







Write the expression shown as one scientific number.

(8 x 10^2)(7.5 x 10^4)
_______________________
          5 x 10^2






I honestly don't know how to do this. If someone could help and give me an explanation that would help a lot.

satellite73 · Answer

first multiply the two numbers $8\times 7.5$ in the numerator

anonymous · Answer

ok

satellite73 · Answer

then compute $10^2\times 10^4$ by adding the exponents

satellite73 · Answer

divide the result of $8\times 7.5$ by $5$

anonymous · Answer

wait ok so 8 x 7.5 is 60 right?

satellite73 · Answer

yes
now divide that by 5

anonymous · Answer

12

satellite73 · Answer

right 
so you have $$\frac{12\times 10^2\times 10^4}{10^2}$$

satellite73 · Answer

cancel the common factor of $10^2$ top and bottom

anonymous · Answer

so I'll have 12 × 10^4 ?

satellite73 · Answer

yes
one more step

anonymous · Answer

ok

satellite73 · Answer

since $12>10$ this number is not written in scientific notation 
you have to put a decimal point between the $1$ and the $2$ in the number $12$ and also add $1$ to the exponent

anonymous · Answer

right ok so it would be 1.2 x 10^5 ?

anonymous · Answer

@satellite73

satellite73 · Answer

yes

anonymous · Answer

Thank you so much this really helped a lot!

satellite73 · Answer

yw

anonymous · Answer

@satellite73 Sorry to bother you again but could you explain really quick why I had to divide 60 by 5?