The solution to (-2 2/5)^2 is 5 19/25

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simplify (-2 2/5)^2

Solution

simplify

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

5 \frac{19}{25}

Decimal Notation

5.76

Solution steps

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

Convert mixed numbers to improper fractions:

2 \frac{2}{5} = \frac{12}{5}

= (- \frac{12}{5})^{2}

Apply exponent rule:

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

n

is even

(- \frac{12}{5})^{2} = (\frac{12}{5})^{2}

= (\frac{12}{5})^{2}

Apply exponent rule:

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

= \frac{1 2 ^{2}}{5 ^{2}}

1 2^{2} = 144

= \frac{144}{5 ^{2}}

5^{2} = 25

= \frac{144}{25}

Convert improper fractions to mixed numbers:

\frac{144}{25} = 5 \frac{19}{25}

= 5 \frac{19}{25}

f = \frac{( - 4 ) ^{2} - 16}{- 4 + 2}

s^{2} - 10 s + 21

15 x^{2} + 20 x

\frac{a ^{5}}{a ^{\frac{5}{2}}}

3000 - 20 x = 0