The solution to 1/10 (2)^2 is 2/5

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1/10 (2)^2

Solution

\frac{1}{10} (2)^{2}

\frac{2}{5}

Solution steps

\frac{1}{10} (2)^{2}

Follow the PEMDAS order of operations

Calculate exponents

(2)^{2} : 4

(2)^{2}

(2)^{2} = 4

= 4

= \frac{1}{10} \cdot 4

Multiply and divide (left to right)

\frac{1}{10} \cdot 4 : \frac{2}{5}

\frac{1}{10} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

= \frac{1}{10} \cdot \frac{4}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 4}{10 \cdot 1}

\frac{1 \cdot 4}{10 \cdot 1} = \frac{2}{5}

\frac{1 \cdot 4}{10 \cdot 1}

\frac{1 \cdot 4}{10 \cdot 1} = \frac{4}{10}

\frac{1 \cdot 4}{10 \cdot 1}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4}{10 \cdot 1}

Multiply the numbers:

10 \cdot 1 = 10

= \frac{4}{10}

= \frac{4}{10}

Factor the number:

4 = 2 \cdot 2

= \frac{2 \cdot 2}{10}

Factor the number:

10 = 2 \cdot 5

= \frac{2 \cdot 2}{2 \cdot 5}

Cancel the common factor:

2

= \frac{2}{5}

= \frac{2}{5}

= \frac{2}{5}

(100 + 50 (2)) \div 2

1 5^{2} - 6^{2}

- 2 (- 3)^{2} - 8

- 64 - 103 + 75

8 + 21 \times 3 - 13 + 56 \div 7