mscrosscountry
Simplify. Express the quotient as a rational exponent.
x to the 4 fifths power over x to the 1 third power



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philips13
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Is this it?
\[x^{4/5} \over x^{1/3}\]

mscrosscountry
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yes


brinethery
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Get both fractions so that they have a common denominator and then subtract them.

mscrosscountry
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is it x 4/15?

philips13
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\[x^{4/5}x^{1/3}\]

brinethery
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I think like x^7/15

mscrosscountry
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x 3/2?

mscrosscountry
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here are my options:
x3/2 x7/15 x17/15 x4/15

philips13
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bri is right the exponent is 4/5  1/3

mscrosscountry
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so 3/2

philips13
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remember how to subtract fractions? Least common denominator?

philips13
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fancy way of saying make the numbers on the bottom the same before you can subtract

brinethery
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What's 12/15  5/15?

mscrosscountry
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7/15 okay i understand now

brinethery
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Make sure you know how to add and subtract fractions, it's very important.

brinethery
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good luck!