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24 votes
Which expression is equivalent to 12^-5 times 12^9?

a. 1/12^-45
b. 12^-45
c. 1/12^4
d. 1/12^-4

User Jcuot
by
8.6k points

2 Answers

1 vote

Answer:

12^14

Explanation:

It's the correct answer

12 votes

Answer:

D. 1/12^-4

Explanation:


12^(-5)*12^(9)

Since both exponents have the same base, we can add the exponents to get:


12^(-5+9)=12^(4)

We can cross out A and B since they multiplied the two exponents, therefore both answers are wrong.

Now, let's try C and D.

C is wrong because it has a different base being raised to the same power.

D is correct. When you have a negative exponent, it is equivalent to the reciprocal of the base to the positive exponent.

The reciprocal of 1/12 is 12, and the positive of -4 is 4, therefore the answer is D.

User Mechatroner
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8.8k points

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