Please help me with any questions that you can. Ensure that you have full working when doing so. The person who can do the most questions will be given the brainliest. Thanks.

(Brainle pl)

10

explaniion:

given that:

(2x^9y^n)(4x^2y^10)=8x^11y^20

the value of n that will make the inequality true will be found as follows;

(2x^9y^n)(4x^2y^10)=8x^11y^(n+10)

thus;

8x^11y^(n+10)=8x^11y^20

dividing through by 8x^11 we get;

y^(n+10)=y^20

introducing the natural logs we get;

(n+10)lny=20lny

lny will cancel out and we shall remain with;

n+10=20

thus

n=20-10

n=10

the answer is n=10