7
AssignmentMultiple Choice

Powers with the Same Base

Question 7 • (AG Q1) Keystone Algebra 1 Block: 26-27 (DDiamond)

Aubrey says that the product of 104 and 10–2 is 10–8. Is she correct? If not, explain why.

Answer
A
Yes, she is correct.
B
No, the exponent should be positive 8.
C
No, she multiplied the exponents instead of adding them.
D
No, she multiplied the exponents instead of subtracting them.

Explanation

No. When multiplying powers with the same base, add the exponents: 10⁴ × 10⁻² = 10⁴⁺⁽⁻²⁾ = 10². Aubrey got −8 by multiplying 4 and −2 instead of adding them, so choice C is correct.

AI-written and checked against the verified answer.

Previous
Next