Question

I need help with this exponent problem! It will be really quick.

Thanks in advance!

~Micah K.

Answer 1

@precal

Answer 2

Can you write both terms with fractional exponents instead of radical signs?

Answer 3

well write them in index form

\[3^{\frac{1}{2}} \times 3^{\frac{1}{5}}\]

the rule for multiplying the same base is add the powers...


hope that helps you...

Answer 4

You'll have the same base for both, so to multiply, just add the exponents.

Answer 5

This is how I would do it

Answer 6

What is the second fraction? It is too small to see.

Answer 7

remember

\[x^a \times x^b = x^{a + b}\]

Answer 8

well the solution posted by @nikato is incorrect....

Answer 9

Nth root of something is something to the 1/n power

Answer 10

Thanks for the image! I guess that I just have to use the rational exponent property. Thank you both.

Answer 11

Oops thanks Campbell

So it'll be 3 ^(1/5 + 1/2)

Answer 12

Okay, cool. Can you help me with one more? My lesson doesn't really talk about this concept much.

Answer 13

so re-write as a starting point

\[\sqrt[3]{5}\]

in index form...?

Answer 14

5^1 over a

Answer 15

@nikato

"So it'll be 3 ^(1/5 + 1/2)"

I think that you mean 3 ^(1/5 times 1/2).

Answer 16

@campbell_st I think that I understand where you are getting at.

Answer 17

well for the 1st question you posted, you'll need to simplify the fraction...

1/2 + 1/5 =

Answer 18

Ooohhh my bad. So the answer is 5 to the 7 tenths power, not 1 tenth power.

Answer 19

I think that the answer to the second question is 5 to the 1 sixth power. Am I correct?

Answer 20

Yes, that is correct.

Answer 21

thats correct... for both questions

Answer 22

Okay, thank you guys!!

Answer 23

you're welcome

Answer 24

Thanks for the medal.

Answer 25

@campbell_st