Simplify (x^0y^(1/3))^(3/2)x^0

${(x^{0} y^{\frac{1}{3}})}^{\frac{3}{2}} x^{0}$

Step 1

Anything raised to $0$ is $1$ .

${(1 y^{\frac{1}{3}})}^{\frac{3}{2}} x^{0}$

Step 2

Multiply $y^{\frac{1}{3}}$ by $1$ .

${(y^{\frac{1}{3}})}^{\frac{3}{2}} x^{0}$

Step 3

Multiply the exponents in ${(y^{\frac{1}{3}})}^{\frac{3}{2}}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$y^{\frac{1}{3} \cdot \frac{3}{2}} x^{0}$

Cancel the common factor of $3$ .

Cancel the common factor.

$y^{\frac{1}{3} \cdot \frac{3}{2}} x^{0}$

Rewrite the expression.

$y^{\frac{1}{2}} x^{0}$

Step 4

Anything raised to $0$ is $1$ .

$y^{\frac{1}{2}} \cdot 1$

Step 5

Multiply $y^{\frac{1}{2}}$ by $1$ .

$y^{\frac{1}{2}}$