Question

Analyzing a Solution
Aubrey says that the product of 104 and 10–2 is 10–8. Is she correct? If not, explain why.
Yes, she is correct.
No, the exponent should be positive 8.
No, she multiplied the exponents instead of adding them.
No, she multiplied the exponents instead of subtracting them.

Answer 1

No — she multiplied the exponents instead of adding them.

When you multiply powers with the same base you add the exponents:
10^4 · 10^(−2) = 10^(4 + (−2)) = 10^2 = 100.