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undeadknight26 (undeadknight26):
Rewrite the rational exponent as a radical.
5 to the 3 over 4 power, to the 2 over 3 power
the cube root of 5 squared
the twelfth root of 5****
the square root of 5
the cube root of 5 the fourth power
jigglypuff314 (jigglypuff314):
when it is power to a power, you multiply the powers to simplify it so
\[(5^{3/4})^{2/3} = 5^{3/4 \times 2/3} = 5^{6/12} = 5^{1/2}= \sqrt{5}\]
undeadknight26 (undeadknight26):
so the 3rd one?
jigglypuff314 (jigglypuff314):
yep :)
undeadknight26 (undeadknight26):
Can u help me with 1 more?
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jigglypuff314 (jigglypuff314):
sure :)
undeadknight26 (undeadknight26):
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.
2 to the 3 over 5 power inches squared
2 to the 4 over 5 power inches squared
2 inches squared
2 to the 2 over 5 power inches squared
undeadknight26 (undeadknight26):
I think its the third one
undeadknight26 (undeadknight26):
I ranout of time on my test :( thanks any way.
jigglypuff314 (jigglypuff314):
the third choice is correct :D
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undeadknight26 (undeadknight26):
Thanks 2 u i got 10/10!
jigglypuff314 (jigglypuff314):
sorry I wasn't able to answer it faster for you
undeadknight26 (undeadknight26):
Np but i got them right.
undeadknight26 (undeadknight26):
I might have some more questions soon...i am now taking a module exam!!!