simplify (36)^{3/2}

Solution

simplify

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

216

Solution steps

3 6^{\frac{3}{2}}

Factor the number:

36 = 6^{2}

= (6^{2})^{\frac{3}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 6^{2 \cdot \frac{3}{2}}

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

= 6^{3}

6^{3} = 216

= 216

\frac{- 9 x ^{- 1} y ^{- 9}}{- 15 x ^{5} y ^{- 3}}

4 x^{3} + 12 x^{2} + 12 x + 4

3^{2} - (\frac{1}{3})^{- 2}

\frac{1}{12 \cdot 1.1} \cdot 2

9 z^{2} + 31 = 36 z