What is 1/3 (5)^2-4 ?

The solution to 1/3 (5)^2-4 is 4 1/3

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1/3 (5)^2-4

\frac{1}{3} (5)^{2} - 4

4 \frac{1}{3}

Solution steps

\frac{1}{3} (5)^{2} - 4

Follow the PEMDAS order of operations

Calculate exponents

(5)^{2} : 25

= \frac{1}{3} \cdot 25 - 4

Multiply and divide (left to right)

\frac{1}{3} \cdot 25 : \frac{25}{3}

= \frac{25}{3} - 4

Add and subtract (left to right)

\frac{25}{3} - 4 : \frac{13}{3}

= \frac{13}{3}

Convert improper fractions to mixed numbers:

\frac{13}{3} = 4 \frac{1}{3}

= 4 \frac{1}{3}

[(8 \div 2 + 6) - 4] + [3 - 2 (5)]

\frac{2 + 0 - 7 - 7 - 5 - 7 - 5 + 1 + 2 - 5}{10}

8 + (- 25) + 16 (- 25) - 16

\frac{6 \cdot ( - 2 + 1 )}{- 2}

- 3 (0 - 2)^{2} + 18