MeowLover17
  • MeowLover17
QUESTION IN COMMENTS
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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MeowLover17
  • MeowLover17
http://gyazo.com/5d8475f5677c10175b8e2e28799a22af
MeowLover17
  • MeowLover17
Please help if possible.
MeowLover17
  • MeowLover17
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.

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More answers

amistre64
  • amistre64
what are your thoughts about it? what have you considered?
MeowLover17
  • MeowLover17
Im not sure but i think the answer might be A
amistre64
  • amistre64
hmm, how are roots and exponents related?
MeowLover17
  • MeowLover17
when you transform a root of something to an exponent it will go under 1/?
amistre64
  • amistre64
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?
MeowLover17
  • MeowLover17
Like \[\sqrt{2} = \] 2^1/2
MeowLover17
  • MeowLover17
No that is not possible.
amistre64
  • amistre64
so 2*2*2*2 , cant possible be 16 eh
MeowLover17
  • MeowLover17
Or do you mean if i do 2^4
MeowLover17
  • MeowLover17
Okay sorry i thought you meant if 16 could go into 2 my bad
amistre64
  • amistre64
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?
MeowLover17
  • MeowLover17
Sorry i dont understand, i'm terrible with radicals/exponents please further explain
amistre64
  • amistre64
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: \[2^{4/5}~*~2^{1/5}\]
MeowLover17
  • MeowLover17
2
amistre64
  • amistre64
right
MeowLover17
  • MeowLover17
So my answer would b C
amistre64
  • amistre64
your answer is 2, the option to choose is C
MeowLover17
  • MeowLover17
Thanks for your help i appreciate it :D
amistre64
  • amistre64
good luck
MeowLover17
  • MeowLover17
Would you be able to help me with another one possibly?
amistre64
  • amistre64
not at the moment
MeowLover17
  • MeowLover17
Thanks anyways :D have a great day.

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