What is 1/5 (3+2+5)^2 ?

The solution to 1/5 (3+2+5)^2 is 20

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1/5 (3+2+5)^2

\frac{1}{5} (3 + 2 + 5)^{2}

20

Solution steps

\frac{1}{5} (3 + 2 + 5)^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(3 + 2 + 5) : 10

3 + 2 + 5

3 + 2 + 5 = 10

= 10

= \frac{1}{5} \cdot 1 0^{2}

Calculate exponents

1 0^{2} : 100

1 0^{2}

1 0^{2} = 100

= 100

= \frac{1}{5} \cdot 100

Multiply and divide (left to right)

\frac{1}{5} \cdot 100 : 20

\frac{1}{5} \cdot 100

Convert element to fraction:

100 = \frac{100}{1}

= \frac{1}{5} \cdot \frac{100}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 100}{5 \cdot 1}

\frac{1 \cdot 100}{5 \cdot 1} = 20

\frac{1 \cdot 100}{5 \cdot 1}

\frac{1 \cdot 100}{5 \cdot 1} = \frac{100}{5}

\frac{1 \cdot 100}{5 \cdot 1}

Multiply the numbers:

1 \cdot 100 = 100

= \frac{100}{5 \cdot 1}

Multiply the numbers:

5 \cdot 1 = 5

= \frac{100}{5}

= \frac{100}{5}

Divide the numbers:

\frac{100}{5} = 20

= 20

= 20

= 20

6 (1)^{2}

2 (1)^{2} - 1

4 - 7 - 15 + 8

36 \div 3 (8 - 6)

(- 3)^{2} + 1