How do you simplify (sqrt(x +9))^4* (sqrt(x+9))^99? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Dan Kemp ยท EZ as pi 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) Answer link Related questions How do you simplify \frac{2}{\sqrt{3}}? How do you multiply and divide radicals? How do you rationalize the denominator? What is Multiplication and Division of Radicals? How do you simplify 7/(""^3sqrt(5)? How do you multiply (sqrt(a) +sqrt(b))(sqrt(a)-sqrt(b))? How do you rationalize the denominator for \frac{2x}{\sqrt{5}x}? Do you always have to rationalize the denominator? How do you simplify sqrt(5)sqrt(15)? How do you simplify (7sqrt(13) + 2sqrt(6))(2sqrt(3)+3sqrt(6))? See all questions in Multiplication and Division of Radicals Impact of this question 1436 views around the world You can reuse this answer Creative Commons License