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5 votes
How many times smaller is 2 × 10-3 than 4 × 10-2? PLEASE HELP

A.
20
B.
200
C.
2,000
D.
0.2

User Bisi
by
8.7k points

1 Answer

3 votes

The required "option A) 20" is correct.

Explanation:

Let x be the smaller than 4 ×
10^(-2).

To find, the number of times smaller is 2 ×
10^(-3) than 4 ×
10^(-2) = ?

∴ x =
(4* 10^(-2))/(2* 10^(-3))

= 2 ×
10^(-2) ×
10^(3)

Using the identity,


a^(m)=(1)/(a^(-m))

= 2 ×
10^(-2+3)

Using the identity,


a^(m) *a^(n)=a^(m+n)

= 2 ×
10^(1)

= 2 × 10

= 20

Thus, the required "option A) 20" is correct.

User Mixthos
by
7.6k points

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