Question

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

Answer 1

`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`

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