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:

(\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}

4 m^{0}

\frac{1}{2} x - \frac{3}{4} < \frac{9}{4} x - 13

5 m^{2} + 22 m + 8

m^{2} - 3 m - 10 = 0

6 x^{2} - 13 x - 15