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Question
4x^{\frac{3}{2}}=32
Solve the equation
x=4
Evaluate
4x^{\frac{3}{2}}=32
Find the domain
4x^{\frac{3}{2}}=32,x\geq 0
Divide both sides
\frac{4x^{\frac{3}{2}}}{4}=\frac{32}{4}
Divide the numbers
x^{\frac{3}{2}}=\frac{32}{4}
Divide the numbers
More Steps
Evaluate
\frac{32}{4}
Reduce the numbers
\frac{8}{1}
Calculate
8
x^{\frac{3}{2}}=8
Raise both sides of the equation to the reciprocal of the exponent
\left(x^{\frac{3}{2}}\right)^{\frac{2}{3}}=8^{\frac{2}{3}}
Evaluate the power
x=4
Check if the solution is in the defined range
x=4,x\geq 0
Solution
x=4
Show Solutions
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