simplify (2 3/5)^2

Solution

simplify

(2 \frac{3}{5})^{2}

6 \frac{19}{25}

Solution steps

(2 \frac{3}{5})^{2}

Convert mixed numbers to improper fractions:

2 \frac{3}{5} = \frac{13}{5}

= (\frac{13}{5})^{2}

Apply exponent rule:

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

= \frac{1 3 ^{2}}{5 ^{2}}

1 3^{2} = 169

= \frac{169}{5 ^{2}}

5^{2} = 25

= \frac{169}{25}

Convert improper fractions to mixed numbers:

\frac{169}{25} = 6 \frac{19}{25}

= 6 \frac{19}{25}

11 x^{2} + 5 x + 2 = 0

x^{2} + 5 x - 7 \geq 0

- \frac{12}{7} = - 6 y

\frac{π}{2} + \frac{3 π}{2}

x^{2} + x^{2} = 36