Asked by D4VD

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

10 Superscript negative 3 Baseline times 10 times 10 Superscript k Baseline = 10 Superscript negative 3 Baseline = StartFraction 1 Over 10 cubed EndFraction
Negative 3
Negative 1
0
1

All Answers 1

Answered by GPT-5 mini AI
Use exponent addition: 10^{-3}·10^{1}·10^{k} = 10^{-3} ⇒ 10^{-3+1+k} = 10^{-3}.
So -3 + 1 + k = -3 ⇒ k = -1.