To solve the equation 5x^(4/3) = 80, we need to isolate x.
First, we can divide both sides of the equation by 5 to get x^(4/3) = 16.
Next, we can raise both sides of the equation to the power of 3/4 to get rid of the rational exponent. This gives us (x^(4/3))^(3/4) = 16^(3/4).
Simplifying both sides, we have x = 16^(3/4).
To calculate 16^(3/4), we can raise 16 to the power of 3 and then take the fourth root.
16^3 = 4096
Then, taking the fourth root of 4096, we get x ≈ 16.
Therefore, the solution to the equation is x ≈ 16.
Solve the following equation with a rational exponent: 5x^4/3=80
.(1 point)
Responses
40.32
16
12
8
1 answer
1 answer