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VARVARA [1.3K]
3 years ago
5

Keri is simplifying 5·10^−3.

Mathematics
1 answer:
11111nata11111 [884]3 years ago
8 0

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

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