The solution to (-4 1/2)^2 is 20 1/4

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simplify (-4 1/2)^2

Solution

simplify

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

20 \frac{1}{4}

Decimal Notation

20.25

Solution steps

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

Convert mixed numbers to improper fractions:

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

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

Apply exponent rule:

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

n

is even

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

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

Apply exponent rule:

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

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

9^{2} = 81

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

2^{2} = 4

= \frac{81}{4}

Convert improper fractions to mixed numbers:

\frac{81}{4} = 20 \frac{1}{4}

= 20 \frac{1}{4}

x^{2} - 4 < 5

\frac{5}{7} x + 5 > 10

7 x^{2} + 2 x

p^{2} + 8 p + 7

- 2 x + 3 - x = 3 x - 15