Question

simplify 15 exponent 18 over 15 exponent 3

Answer 1

post the multiple choice pls

Answer 2

A)15 exponent 6
B)15 exponent 15
C)1 exponent 6
D)1 exponent 15

Answer 3

The question is \[\frac{15^{18}}{15^{3}}\] right?

Answer 4

yes

Answer 5

its asking me to simplify that

Answer 6

OK, the important thing to remember about exponents is that they usually represent multiplying the same thing over and over. So for example, \[15^3 = 15 \times 15 \times 15\].
where the exponent 3 tells me to multiply 15 three times. Does that make sense as an example?

Answer 7

yes, thank you but based on the multiply choice what is the answer

Answer 8

Of course, that's the next step. :) I'll help you figure it out by asking you a couple questions. It's not too hard. :)

Let's think about the top part of the fraction. How many times do I multiply 15 when I have an exponent of 18?

Answer 9

18 times

Answer 10

Excellent! So we know that our fraction looks like this...

Answer 11

:T

Answer 12

\[\frac{15 \times 15 \times \cdots \times 15 \ (18 \text{\times}))}{15 \times 15 \times 15}\]

Answer 13

There are eighteen 15s on top, and three 15s on the bottom. There's going to be cancellations!

Answer 14

i know

Answer 15

Good, we get to cancel three 15s, which leaves us with fifteen 15s on top.

Answer 16

Dividing the two is also equal to\[15^{18-3}\] It will get you the same answer.

Answer 17

The final answer is that we have fifteen 15s multiplied together. This is the same as \[15^{15}\] we are done!

Answer 18

Thanks

Answer 19

Your welcome, good job!