The solution to (2 1/2)^2 is 6 1/4

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simplify (2 1/2)^2

Solution

simplify

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

6 \frac{1}{4}

Decimal Notation

6.25

Solution steps

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

Convert mixed numbers to improper fractions:

2 \frac{1}{2} = \frac{5}{2}

= (\frac{5}{2})^{2}

Apply exponent rule:

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

= \frac{5 ^{2}}{2 ^{2}}

5^{2} = 25

= \frac{25}{2 ^{2}}

2^{2} = 4

= \frac{25}{4}

Convert improper fractions to mixed numbers:

\frac{25}{4} = 6 \frac{1}{4}

= 6 \frac{1}{4}

3 6^{- \frac{3}{2}}

x^{3} - 5 x^{2} - x + 5

12 - (12 - 2 x) \cdot 2 < 5 + 5 x

7 x - 5 x + 15 = x + 8

x^{3} - 11 x^{2} + 43 x - 65