Question

simplyfy
(x-9)^3/5=8

how do you solve the power to 3/5?

Answer 1

Raise both sides to the 5/3 power
(x-9)=8^(5/3)=32
x-9=32
x=41

Answer 2

i dont understand still

Answer 3

\[\sqrt[5]{(x-9)^2} = (x-9)^{3/5}\]

Answer 4

sorry, should be \[\sqrt[5]{(x-9)^{3}}\]

Answer 5

Now\[[\sqrt[5]{(x-9)^{3}}]^{5} = [8]^5\]
\[(x-9)^3 = 8^5\]
\[\sqrt[3]{(x-9)^3} = \sqrt[3]{[8^5]}\]
\[x-9 = 8^{5/3}\]

Answer 6

\[8^{5/3} = \sqrt[3]{32768} = 32\]

Answer 7

so x-9 = 32
add 9 both sides
x-9+9=32+9
x=41
hope it helps!

Answer 8

lets try this. rather than raising to the fifth power first, take the cube root of 8 first. the cube root of 8 is 2, and 2 to the fifth power is 32. much easier that way.