Question

Keri is simplifying 5·10^−3.

Answer 1

Answer:

1. D

2. A

Step-by-step explanation:

Q1. Kerry is simplifying $5\cdot 10^{-3}$

By the definition of negative powers,

$a^{-n}=\dfrac{1}{a^n}$

Hence,

$10^{-3}=\dfrac{1}{10^3}$

So, the first step in simplifying the expression is

$5\cdot 10^{-3}=5\cdot \dfrac{1}{10^3}$

Q2. Given the expression

$\dfrac{8}{10^{-2}}$

First, use the definition of negative powers:

$10^{-2}=\dfrac{1}{10^2}$

Thus,

$\dfrac{8}{10^-2}=\dfrac{8}{\frac{1}{10^2}}=8\cdot 10^2=8\cdot 100=800$