#(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)#