The solution to (-1 1/4)^2 is 1 9/16

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simplify (-1 1/4)^2

Solution

simplify

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

1 \frac{9}{16}

Solution steps

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

Convert mixed numbers to improper fractions:

1 \frac{1}{4} = \frac{5}{4}

= (- \frac{5}{4})^{2}

Apply exponent rule:

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

n

is even

(- \frac{5}{4})^{2} = (\frac{5}{4})^{2}

= (\frac{5}{4})^{2}

Apply exponent rule:

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

= \frac{5 ^{2}}{4 ^{2}}

5^{2} = 25

= \frac{25}{4 ^{2}}

4^{2} = 16

= \frac{25}{16}

Convert improper fractions to mixed numbers:

\frac{25}{16} = 1 \frac{9}{16}

= 1 \frac{9}{16}

y + 42 > 97

2 (y - 10) = 6

- \frac{3}{2} + 3

25 x^{2} - 49 = 0

∣ 2 x + 1 ∣ \leq 1