Unsure of Index rule: ((x^ny^(m+3))^2)/x^(n+2)y^3-m))....

[britt]

can't do the following problem. I am not sure what to do when you have an algerbraic power & have to multiple it by a real number?
((x^ny^(m+3))^2)/x^(n+2)y^3-m)) * ((x^2y)/(x^(n-5)*y^(5-3m))

 

[skeeter]

Re: Unsure of Index rule

I'm going to attempt to rewrite your expression for clarity's sake ...

\(\displaystyle \frac{(x^n y^{m+3})^2}{x^{n+2}y^{3-m}} \cdot \frac{x^2 y}{x^{n-5} y^{5-3m}}\)

is this correct?

 

[soroban]

Re: Unsure of Index rule

Hello, britt!

I am not sure what to do when you have an algerbraic power and
have to multiple it by a real number . . not sure what you mean

. . \(\displaystyle \frac{\left(x^ny^{m+3} \right)^2}{x^{n+2}y^{3-m}} \cdot\frac{x^{2y}}{x^{n-5}y^{5-3m}}\)

I would guess that the first numerator puzzles you . . .

\(\displaystyle \text{We have: }\;\left(x^ny^{m+3{\right)^2 \;=\;\left(x^n\right)^2\left(y^{m+3}\right)^2 \;=\;x^{2n}y^{2m+6}\)


Can you finish it now?