Question

There are (108)2. 10° candies in a store. What is the total number of candies in the store?

O a
Ob
1010
OC
1016
od
1017

Need help :)

Answer 1

Answer: Choice C

Step-by-step explanation:

The
`(10^8)^2` portion becomes
`10^(16)` because we multiply the exponents.

The
`10^0` part is equal to 1. Raising any nonzero value to an exponent of 0 gets us 1 every time. The rule is
`x^0 = 1 \ \text{ where } x \\e 0`. Then that "1" goes away because 1 times anything is that number.

So overall, we end up with
`10^(16)`

When expanding this number out, it's going to have 16 zeros. So this number is very large.

`10^(16) = \text{1 followed by 16 zeros} = \text{10 quadrillion}`