simplify (3/2)^9

Solution

simplify

(\frac{3}{2})^{9}

\frac{19683}{512}

Decimal Notation

38.44335 \dots

Solution steps

(\frac{3}{2})^{9}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{3 ^{9}}{2 ^{9}}

3^{9} = 19683

= \frac{19683}{2 ^{9}}

2^{9} = 512

= \frac{19683}{512}

1^{1 - \frac{5}{3}}

\frac{1}{x - 3} + \frac{1}{x + 3} - \frac{2}{x}

(10 a + 3 b) (3 a - 6 b)

\frac{csc ( x ) cot ( x )}{sec ( x )}

\frac{x ^{2} - 81}{x ^{2} - 2 x - 63}