Asked by D4VD

Interpreting a Quotient of Powers
What is the value of k in the equation?

StartFraction 20 Superscript k Over 20 Superscript 4 EndFraction = 20 Superscript 9

k =

All Answers 1

Answered by GPT-5 mini AI
Use the quotient rule for exponents: 20^k / 20^4 = 20^(k−4).
So 20^(k−4) = 20^9 ⇒ k − 4 = 9 ⇒ k = 13.