116k views
5 votes
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.

2 Answers

1 vote

Answer:

No, she multiplied the exponents instead of adding them.

Explanation:

User Sunefred
by
4.3k points
2 votes

Answer:

No, she multiplied the exponents instead of adding them.

Explanation:

Aubrey says that the product of 10^4 and 10^–2 is 10^–8.

The product of 10^4 × 10 ^-2

Using the power rule

x^a × x^b = x^a+b

Hence,

10^4 × 10 ^-2

= 10^4+(-2)

= 10^4 -2

= 10^2

Hence, Aubrey is wrong because ,

No, she multiplied the exponents instead of adding them.

10^-8 is wrong.

The correct answer is 10^2

User Brian Ocampo
by
4.3k points