simplify 5^{3/2}

Solution

simplify

5^{\frac{3}{2}}

5 \cdot 5^{\frac{1}{2}}

Decimal Notation

11.18033 \dots

Solution steps

5^{\frac{3}{2}}

5^{\frac{3}{2}} = 5^{1 + \frac{1}{2}}

= 5^{1 + \frac{1}{2}}

Apply exponent rule:

x^{a + b} = x^{a} x^{b}

= 5^{1} \cdot 5^{\frac{1}{2}}

Refine

= 5 \cdot 5^{\frac{1}{2}}

(\frac{125}{64})^{\frac{2}{3}}

45 x^{5} y^{7} + 33 x^{3} y^{3} + 78 x^{2} y^{4}

- \frac{4}{9} f = - 3

- 2 - 8

5 - 2 (x + 3) = - \frac{1}{2} (4 x + 2)