The solution to (-2 5/8)^2 is 6 57/64

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simplify (-2 5/8)^2

Solution

simplify

(- 2 \frac{5}{8})^{2}

6 \frac{57}{64}

Decimal Notation

6.890625

Solution steps

(- 2 \frac{5}{8})^{2}

Convert mixed numbers to improper fractions:

2 \frac{5}{8} = \frac{21}{8}

= (- \frac{21}{8})^{2}

Apply exponent rule:

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

n

is even

(- \frac{21}{8})^{2} = (\frac{21}{8})^{2}

= (\frac{21}{8})^{2}

Apply exponent rule:

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

= \frac{2 1 ^{2}}{8 ^{2}}

2 1^{2} = 441

= \frac{441}{8 ^{2}}

8^{2} = 64

= \frac{441}{64}

Convert improper fractions to mixed numbers:

\frac{441}{64} = 6 \frac{57}{64}

= 6 \frac{57}{64}

(x + 2)^{2} (x - 6) < 0

x^{2} = (x - 4)^{2}

\frac{1}{2} - 4

x^{3} - 14 x - 8

f = (\frac{1}{6})^{2}