simplify (2p)^{3/2}

Solution

simplify

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

2 \cdot 2^{\frac{1}{2}} p^{\frac{3}{2}}

Solution steps

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

= 2^{\frac{3}{2}} p^{\frac{3}{2}}

2^{\frac{3}{2}} = 2 \cdot 2^{\frac{1}{2}}

= 2 \cdot 2^{\frac{1}{2}} p^{\frac{3}{2}}

(\frac{3}{12})^{- 4}

92 + 52

\frac{5}{9} \div \frac{5}{6}

3 (- x)^{2} + 2 (- x) - 4