The solution to (-2 3/4)^2 is 7 9/16

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simplify (-2 3/4)^2

Solution

simplify

(- 2 \frac{3}{4})^{2}

7 \frac{9}{16}

Decimal Notation

7.5625

Solution steps

(- 2 \frac{3}{4})^{2}

Convert mixed numbers to improper fractions:

2 \frac{3}{4} = \frac{11}{4}

= (- \frac{11}{4})^{2}

Apply exponent rule:

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

n

is even

(- \frac{11}{4})^{2} = (\frac{11}{4})^{2}

= (\frac{11}{4})^{2}

Apply exponent rule:

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

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

1 1^{2} = 121

= \frac{121}{4 ^{2}}

4^{2} = 16

= \frac{121}{16}

Convert improper fractions to mixed numbers:

\frac{121}{16} = 7 \frac{9}{16}

= 7 \frac{9}{16}

\frac{5}{12} \div \frac{3}{4}

- 6^{- 3}

580 + 220

lo g_{2} (32000)

lo g_{64} (128)