What is (25/3-5/15)^2 ?

The solution to (25/3-5/15)^2 is 64

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(25/3-5/15)^2

(\frac{25}{3} - \frac{5}{15})^{2}

64

Solution steps

(\frac{25}{3} - \frac{5}{15})^{2}

\frac{5}{15} = \frac{1}{3}

Cancel the common factor:

5

\frac{1}{3}

= (\frac{25}{3} - \frac{1}{3})^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{25}{3} - \frac{1}{3}) : 8

\frac{25}{3} - \frac{1}{3}

\frac{25}{3} - \frac{1}{3} = 8

\frac{25}{3} - \frac{1}{3}

Apply rule

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{25 - 1}{3}

Subtract the numbers:

25 - 1 = 24

= \frac{24}{3}

Divide the numbers:

\frac{24}{3} = 8

= 8

= 8

= 8^{2}

Calculate exponents

8^{2} : 64

8^{2}

8^{2} = 64

= 64

= 64

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

(- 5) (7 (3 - 2) + 11) + 9 (- 1 (- 2 + 4) + 21)

- 7 + 4 + (- 2) + 8

- [98 + (- 67) - (32) + (- 12) - 5]

(- 45) + (- 2) + (- 3) + (- 4)