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

The solution to 2(1-3)^2+2/3 is 8 2/3

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Popular >

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

Solution

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

Solution

8 \frac{2}{3}

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(1 - 3) : - 2

1 - 3

1 - 3 = - 2

= - 2

= 2 (- 2)^{2} + \frac{2}{3}

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 2)^{2} = 2^{2} = 4

= 4

= 2 \cdot 4 + \frac{2}{3}

Multiply and divide (left to right)

2 \cdot 4 : 8

2 \cdot 4

2 \cdot 4 = 8

= 8

= 8 + \frac{2}{3}

Add and subtract (left to right)

8 + \frac{2}{3} : \frac{26}{3}

8 + \frac{2}{3}

8 + \frac{2}{3} = \frac{26}{3}

8 + \frac{2}{3}

Convert element to fraction:

8 = \frac{8 \cdot 3}{3}

= \frac{8 \cdot 3}{3} + \frac{2}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{8 \cdot 3 + 2}{3}

8 \cdot 3 + 2 = 26

8 \cdot 3 + 2

Multiply the numbers:

8 \cdot 3 = 24

= 24 + 2

Add the numbers:

24 + 2 = 26

= 26

= \frac{26}{3}

= \frac{26}{3}

= \frac{26}{3}

Convert improper fractions to mixed numbers:

\frac{26}{3} = 8 \frac{2}{3}

\frac{26}{3} = 8

Remainder

2

\frac{26}{3}

Write the problem in long division format

3 \overline{∣ 26}

Divide

26

3

to get

8

Divide

26

3

to get

8

8 3 \overline{∣ 26}

Multiply the quotient digit

(8)

by the divisor

3

8 3 \overline{∣ 26} \underline{24}

Subtract

24

from

26

8 3 \overline{∣ 26} \underline{24} 2

8 3 \overline{∣ 26} \underline{24} 2

The solution for Long Division of

\frac{26}{3}

8

with remainder of

2

8 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{26}{3} = 8 \frac{2}{3}

= 8 \frac{2}{3}

= 8 \frac{2}{3}

Popular Examples

3^7-2^7

3^{7} - 2^{7}

(3/6-1/2)^2

(\frac{3}{6} - \frac{1}{2})^{2}

(6-5^2)+3^3\times 2

(6 - 5^{2}) + 3^{3} \times 2

36+12-8\times 3

36 + 12 - 8 \times 3

17-3+(15\div 3\times 5)\div 1

17 - 3 + (15 \div 3 \times 5) \div 1

Frequently Asked Questions (FAQ)

What is 2(1-3)^2+2/3 ?
The solution to 2(1-3)^2+2/3 is 8 2/3