6
QuizMultiple Choice

Powers and Exponents — Quiz

Question 6 • Algebra I

Which pair of expressions has equivalent values?

Answer
A
9 squared and 4 cubed
B
1 to the 13th power and 1 to the 15th power
C
7 to the 8th power and 8 to the 7th power
D
6 to the 1th power and 9 to the 1th power

Explanation

Any positive power of 1 equals 1, so 1 to the 13th power and 1 to the 15th power have the same value. The other pairs are unequal: 9² = 81 while 4³ = 64, and raising 7 and 8 to the different powers shown does not give equal values. Also, 6¹ = 6 and 9¹ = 9.

AI-written and checked against the verified answer.

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