What is the value of k in the product of powers below? 10^-3.10.10^k = 10^-3=1\10^3 -3 - 1 0 1

Dimitris Andreou asked Jan 15, 2022

326,252 views

28 votes

What is the value of k in the product of powers below?

10^-3.10.10^k = 10^-3=1\10^3
-3
- 1
0
1

Dimitris Andreou asked Jan 15, 2022

2.8k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

16 votes

Answer:

10^(-3) *10^(k) =10^(-3) =(1)/(10^(3) )

10^(-3+1+k) =10^(-3)

10^(-2+k) =10^(-3)

Therefore,
-2+k=-3

k=-3+2

k=-1

OAmalOHopeO

Varunkumar Nagarajan answered Jan 21, 2022

2.8k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers