Question

QUESTION IN COMMENTS

Answer 1

http://gyazo.com/5d8475f5677c10175b8e2e28799a22af

Answer 2

Please help if possible.

Answer 3

A rectangle has a length of the fifth root of 16 inches and a width of 2 to the 1 over 5 power inches. Find the area of the rectangle.

Answer 4

what are your thoughts about it? what have you considered?

Answer 5

Im not sure but i think the answer might be A

Answer 6

hmm, how are roots and exponents related?

Answer 7

when you transform a root of something to an exponent it will go under 1/?

Answer 8

yes

when an exponent is a fraction, the top is power, the bottom is a root

16^(1/5) * 2^(1/5)

is it possible that 16 is a power of 2?

Answer 9

Like \[\sqrt{2} = \] 2^1/2

Answer 10

No that is not possible.

Answer 11

so 2*2*2*2 , cant possible be 16 eh

Answer 12

Or do you mean if i do 2^4

Answer 13

Okay sorry i thought you meant if 16 could go into 2 my bad

Answer 14

2^4 yes

now, lets use this: when an exponent is a fraction the top is a power the bottom is a root

16^(1/5) ... but 16 = 2^4

2^(4/5)

now what happens when we multiply like bases?

Answer 15

Sorry i dont understand, i'm terrible with radicals/exponents please further explain

Answer 16

ive explained it as basic as i can

when an exponent is a fraction ... the TOP is power, the BOTTOM is a root.

\[\large \sqrt[5]{16}\]
\[\large \sqrt[5]{2^4}\]
\[\large {2^{4/5}}\]
now all there is to do is multiply to find an area

what is:
\[2^{4/5}~*~2^{1/5}\]

Answer 17

2

Answer 18

right

Answer 19

So my answer would b C

Answer 20

your answer is 2, the option to choose is C

Answer 21

Thanks for your help i appreciate it :D

Answer 22

good luck

Answer 23

Would you be able to help me with another one possibly?

Answer 24

not at the moment

Answer 25

Thanks anyways :D have a great day.