The solution to (-2 1/4)^2 is 5 1/16

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simplify (-2 1/4)^2

Solution

simplify

(- 2 \frac{1}{4})^{2}

5 \frac{1}{16}

Decimal Notation

5.0625

Solution steps

(- 2 \frac{1}{4})^{2}

Convert mixed numbers to improper fractions:

2 \frac{1}{4} = \frac{9}{4}

= (- \frac{9}{4})^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- \frac{9}{4})^{2} = (\frac{9}{4})^{2}

= (\frac{9}{4})^{2}

Apply exponent rule:

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

= \frac{9 ^{2}}{4 ^{2}}

9^{2} = 81

= \frac{81}{4 ^{2}}

4^{2} = 16

= \frac{81}{16}

Convert improper fractions to mixed numbers:

\frac{81}{16} = 5 \frac{1}{16}

= 5 \frac{1}{16}

3 - \frac{1}{2}

3 t^{2} - 9 = 0

24 x^{2} - 30 x - 9

- 3 (2)

8 x + 3 = 43