Question

Represent each fractional exponent as a root.

Answer 1

\[x ^{\frac{ 1 }{ 4}}\]

Answer 2

would it just be the fourth root of x

Answer 3

yep

Answer 4

thank you!

Answer 5

welcome, it was all u hey ;D

Answer 6

\[n ^{\frac{ 4 }{ 3}}= \sqrt[3]{n}^{4}\] right?

Answer 7

yes, if that's just (n^4) and not whole thing ^4

Answer 8

yep

Answer 9

cools, then perfect!

Answer 10

now here is the tough one...

Answer 11

\[(p ^{\frac{ 7 }{ 4 }})^{\frac{ 1 }{2 }}\]

Answer 12

that's really small on my screen, is that 7/4 and 1/2 ?

Answer 13

yes it is

Answer 14

cool, so just multiply out the brackets first, then do what you were doing
remember the rules:
\[x^4 \times x^3 = x^{4+3} = x^7\]
but if its
\[(x^4)^3 = x^{4 \times 3} = x^{12}\]

Answer 15

so ours is
\[(x^{7/4})^{1/2} = x^{7/4 \times 1/2} = x^{7/8}\]

Answer 16

so now that you're rid of the brackets
\[x^{7/8} = \sqrt[8]{x^7}\]

Answer 17

Great! Thanks!!

Answer 18

all good, slaters and gud luk ;D