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}

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:

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

n

is even

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

2 m^{6} - 24 m^{5} + 64 m^{4}

3 x + 1 > 0

w^{2} - 5 w + 3 = 0

(x - 6)^{2} = 36

∣ 3 x - 1 ∣ = 2 x + 5