Question

Keri is simplifying 5·10^−3.

1. Which could be the first step to use when simplifying the expression?
A) 5 · 10^−3 = 5(10)^1/3
B) 5 · 10^-3 = 1/50^3
C) 5 · 10^−3 = 1/50^1/3
D) 5 · 10^−3 = 5(1/10^3)



2. Which is equivalent to
8/10^2?
A) 800
B) 1/80
C) 80
D) 100/8

Answer 1

d then a

Explanation:

Answer 2

1. D

2. A

Explanation:

Q1. Kerry is simplifying
`5\cdot 10^(-3)`

By the definition of negative powers,

`a^(-n)=(1)/(a^n)`

Hence,

`10^(-3)=(1)/(10^3)`

So, the first step in simplifying the expression is

`5\cdot 10^(-3)=5\cdot (1)/(10^3)`

Q2. Given the expression

`(8)/(10^(-2))`

First, use the definition of negative powers:

`10^(-2)=(1)/(10^2)`

Thus,

`(8)/(10^-2)=(8)/((1)/(10^2))=8\cdot 10^2=8\cdot 100=800`