simplify (x^(2/3))^(3/2) — step-by-step solution

Let's reduce:

{(x^{\frac{2}{3}})}^{\frac{3}{2}}

ⓘ For a real base and a reduced exponent with even numerator and odd denominator, take the absolute value of the base before multiplying the exponents:

{(x^{\frac{2}{3}})}^{\frac{3}{2}}

{| x |}^{\frac{2}{3} \cdot \frac{3}{2}}

{| x |}^{\frac{2}{3} \cdot \frac{3}{2}}

ⓘ To multiply fractions, multiply the numerators together and the denominators together:

\frac{2}{3} \cdot \frac{3}{2}

\frac{2 \cdot 3}{3 \cdot 2}

\frac{6}{6}

{| x |}^{\frac{6}{6}}

ⓘ We simplify the fraction by dividing the numerator and the denominator by

6

, their greatest common divisor:

\frac{6}{6}

1

{| x |}^{1}

▶Simplified form:

| x |