What is (3^{-2}-3^2)/(3^2) ?

The solution to (3^{-2}-3^2)/(3^2) is -80/81

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simplify (3^{-2}-3^2)/(3^2)

simplify

\frac{3 ^{- 2} - 3 ^{2}}{3 ^{2}}

- \frac{80}{81}

Decimal Notation

- 0.98765 \dots

Solution steps

\frac{3 ^{- 2} - 3 ^{2}}{3 ^{2}}

3^{2} = 9

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

3^{- 2} = \frac{1}{9}

= \frac{\frac{1}{9} - 9}{9}

Join

\frac{1}{9} - 9 : - \frac{80}{9}

= \frac{- \frac{80}{9}}{9}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{\frac{80}{9}}{9}

Apply the fraction rule:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

\frac{\frac{80}{9}}{9} = \frac{80}{9 \cdot 9}

= - \frac{80}{9 \cdot 9}

Multiply the numbers:

9 \cdot 9 = 81

= - \frac{80}{81}

(d - 2)^{2}

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

(7 + 4 i)^{2}

(x + 1) (x - 1) (x^{2} + 1) + 2

\frac{8}{5} \div \frac{7}{8}