Question

Convert to simplest form-
(25/9)^-3/2

Answer 1

Heya mate!!

• We will convert like 25 is here it is square root of 5 and 9 is square root of 3
• So we can write them as
• ${ \frac{5}{3} }^{2}$
• And it has -3/2 as its power so we will multiply by it
• ${ \frac{5}{2} }^{2 \times \frac{ - 3}{2} } \\ { \frac{5}{2} }^{ - 3}$
• We got a minus power so we cant have minus as a power
• So we will change it ( we will change numerator to denominator and denominator to numerator)
• ${ \frac{2}{5} }^{3}$
• When (a/b)^3 it means a^3/b^3
• So we will do cube of 2 and 5 both
• $\frac{8}{125}$
• Hope it helps u ☺️❤️☺️

Answer 2

Step-by-step explanation:

the answer will be 9/125