Question

Please can u help me simplify

Answer 1

Answer:

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

Step-by-step 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

Answer:

$\displaystyle\frac{3x^4}{2y^4}$

Step-by-step explanation:

Hi there!

$\displaystyle\frac{21x^6y^5}{14x^2y^9}$

21 and 14 are both divisible by 7:

$\displaystyle\frac{(21x^6y^5)\div7}{(14x^2y^9)\div7}\\\\\displaystyle\frac{3x^6y^5}{2x^2y^9}$

x⁶ and x² are both divisible by x²:

$\displaystyle\frac{(3x^6y^5)\div x^2}{(2x^2y^9)\div x^2}\\\\\displaystyle\frac{3x^4y^5}{2y^9}$

y⁵ and y⁹ are both divisible by y⁵:

$\displaystyle\frac{(3x^4y^5)\div y^5}{(2y^9)\div y^5}\\\\\displaystyle\frac{3x^4}{2y^4}$

I hope this helps!