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

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simplify (1 1/2)^2

Solution

simplify

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

2 \frac{1}{4}

Decimal Notation

2.25

Solution steps

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

Convert mixed numbers to improper fractions:

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

= (\frac{3}{2})^{2}

Apply exponent rule:

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

= \frac{3 ^{2}}{2 ^{2}}

3^{2} = 9

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

2^{2} = 4

= \frac{9}{4}

Convert improper fractions to mixed numbers:

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

= 2 \frac{1}{4}

4 a^{2} b^{4}

x^{2} - 8 x - 24 = 0

(x - 6)^{2} = 49

- 2 x < - 6 x + 32

8 a^{3} - 27 b^{3}