There are (10^8)^2 ⋅ 10^0 candies in a store. What is the total number of candies in the store?

1
10^10
10^16
10^17

Question

There are (10^8)^2 ⋅ 10^0 candies in a store. What is the total number of candies in the store?

 1
 10^10
 10^16
 10^17

alibaby · Answer

i think it's C

alibaby · Answer

but the answer to this problem is 1x10^16

alibaby · Answer

@Will.H

leenathan · Answer

not will

alibaby · Answer

so i dont know which one is it

will.h · Answer

you are correct it is C 
Do you need explanation or do you know why ?

phi · Answer

1x10^16 is the same as 10^16

just like 1*2  is the same as 2

mathstudent55 · Answer

Must the answer be written in scientific notation?

alibaby · Answer

id like an explanation plz

phi · Answer

$$ \left( 10^8\right)^2 = (10^8) (10^8) = 10^{16} $$

mathstudent55 · Answer

$10^{16} = 1 \times 10^{16}$

$10^{16} $   is not written in scientific notation.

$1 \times 10^{16} $   is written in scientific notation.

will.h · Answer

$$(10^8)^2 * 10^0$$
Simplify the left side How? 
multiply the exponents 8^2 = 16
and the right side basically equals to 1

phi · Answer

and of course 10^0 is 1

if the answer key says 1*10^16  but the choices leave off the 1, 
then they are being sloppy

will.h · Answer

Lol yeah

mathstudent55 · Answer

A number written in scientific notation consists of the product of a number from 1 to under 10 and an integer power of 10.

alibaby · Answer

hehe ummmm ok lol thanks @phi @Will.H @mathstudent55

will.h · Answer

you welcome