How do you simplify (sqrt(x +9))^4* (sqrt(x+9))^99?

1 Answer
Oct 28, 2017

(sqrt(x+9))^4 * (sqrt(x+9))^99 = (x+9)^(103/2)

Explanation:

(sqrt(x+9))^4 * (sqrt(x+9))^99

"Apply exponent rule" (x^a xx x^b = x^(a+b))

(sqrt(x+9))^4 * (sqrt(x+9))^99 = (sqrt(x+9))^103

color(blue)( sqrtx = x^(1/2)

(sqrt(x+9))^103 = ((x+9)^(1/2))^103

= (x+9)^(1/2 xx 103)

= (x+9)^(103/2)

"or"
= (x+9)^(51.5)