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

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Answer 1 · 2017-10-28T07:01:18

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

#(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)#