Question

Please can u help me simplify

Answer 1

3/2(x^4)(y^-4)

Explanation:

21/14=2/3 -- (divide by 7)

x^6/x^2=x^(6-2)=x^4

y^5/y^9=y^(5-9)=y^-4

Answer 2

`\displaystyle(3x^4)/(2y^4)`

Explanation:

Hi there!

`\displaystyle(21x^6y^5)/(14x^2y^9)`

21 and 14 are both divisible by 7:

`\displaystyle((21x^6y^5)/7)/((14x^2y^9)/7)\\\\\displaystyle(3x^6y^5)/(2x^2y^9)`

x⁶ and x² are both divisible by x²:

`\displaystyle((3x^6y^5)/ x^2)/((2x^2y^9)/ x^2)\\\\\displaystyle(3x^4y^5)/(2y^9)`

y⁵ and y⁹ are both divisible by y⁵:

`\displaystyle((3x^4y^5)/ y^5)/((2y^9)/ y^5)\\\\\displaystyle(3x^4)/(2y^4)`

I hope this helps!