The solution to (-3 1/2)^2 is 12 1/4

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simplify (-3 1/2)^2

Solution

simplify

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

12 \frac{1}{4}

Decimal Notation

12.25

Solution steps

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

Convert mixed numbers to improper fractions:

3 \frac{1}{2} = \frac{7}{2}

= (- \frac{7}{2})^{2}

Apply exponent rule:

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

n

is even

(- \frac{7}{2})^{2} = (\frac{7}{2})^{2}

= (\frac{7}{2})^{2}

Apply exponent rule:

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

= \frac{7 ^{2}}{2 ^{2}}

7^{2} = 49

= \frac{49}{2 ^{2}}

2^{2} = 4

= \frac{49}{4}

Convert improper fractions to mixed numbers:

\frac{49}{4} = 12 \frac{1}{4}

= 12 \frac{1}{4}

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

(x + 6) (x - 2) (x - 5) < 0

58 - 10 x \leq 20 + 9 x

\frac{2}{3} + \frac{1}{4}

15 z^{2} - 28 z + 12