Question

Worth 12 Points, i spent 24

Multiplying Exponents (Question In The Attachment)
Simplify your answer. Type exponential notation with positive rational exponents.​

Answer 1

`\displaystyle m^{(35)/(12)}n^{-(28)/(15)}=\frac{m^{(35)/(12)}}{n^{(28)/(15)}}`

Explanation:

The relevant rule of exponents is ...

(a^b·c^d)^e = a^(be)·c^(de)

Then ...

(m^(5/4)·n^(-4/5))^(7/3) = m^(5/4·7/3)·n^(-4/5·7/3)

= m^(35/12)·n^(-28/15)

__

Since you want positive rational exponents, you can write this as ...

= m^(35/12)/n^(28/15)