can someone help me simplify this: the quantity 10 times x to the 6th power times y to the third power plus 20 times x to the third power times y to the 2nd power all over 5 times x to the third power times y

Question

shane_b · Answer

$$\frac{10x^6y^3+20x^3y^2}{5x^3y}$$

Simplify this?

anonymous · Answer

yes please

shane_b · Answer

First, break it into two fractions:$$\frac{10x^6y^3}{5x^3y}+\frac{20x^3y^2}{5x^3y}$$
To simplify each fraction, use the exponent rule which states that when you divide exponents with the same base, you subtract the exponent in the denominator from the exponent in the numerator.  If you do this, what do you get?

shane_b · Answer

I'll do the first one for you to make sure it's clear.  BTW: You also need to divide the coefficients normally.$$\frac{10x^6y^3}{5x^3y}=2x^3y^2$$

anonymous · Answer

dude i just need the answer im being timed

shane_b · Answer

I'm sure someone else here will help you then.  Good luck.

anonymous · Answer

thanks for nothing

anonymous · Answer

2x^3y^2 + 4y^2, got that?