## fractional exponents help: how (5y^3/4)(2y^1/3) equals 10y^13/10

Quadratic equations and inequalities, variation equations, function notation, systems of equations, etc.
Alex6977
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### fractional exponents help: how (5y^3/4)(2y^1/3) equals 10y^13/10

I don't understand how (5y^3/4)(2y^1/3) equals 10y^13/10

I have the answer but I don't understand how its reached. well at least not that 13/10 part

Thanks

Intermediate algebra was the correct spot right?

buddy
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### Re: fractional exponents help: how (5y^3/4)(2y^1/3) equals 10y^13/10

Intermediate algebra was the correct spot right?
If that's the class you're in, then yes.
I don't understand how (5y^3/4)(2y^1/3) equals 10y^13/10

I have the answer but I don't understand how its reached. well at least not that 13/10 part
The way you've posted means this:

$\left(\dfrac{5y^3}{4}\right)\left(\dfrac{2y^1}{3}\right)$

I think you mean this:

$\left(5y^{3/4}\right)\left(2y^{1/3}\right)$

The first 10 comes from 5*2. The rest comes from exponent rules. The bases (the y's) are multiplied so the powers are added:

$\dfrac{3}{4}\, +\, \dfrac{1}{3}\, =\, \dfrac{9}{12}\, +\, \dfrac{4}{12}$

I think the 10 in the power is a typo for 12. The rest works out correctly.