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

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

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

Solution

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

Solution

- 1 \frac{1}{5}

Solution steps

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

Solve

(- 2) - (- 2)^{2} : - 6

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

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

n

is even

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

= 4

= (- 2) - 4

Add and subtract (left to right)

(- 2) - 4 : - 6

(- 2) - 4

(- 2) - 4 = - 6

= - 6

= - 6

Solve

1 + (- 2)^{2} : 5

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

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

n

is even

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

= 4

= 1 + 4

Add and subtract (left to right)

1 + 4 : 5

1 + 4

1 + 4 = 5

= 5

= 5

= \frac{- 6}{5}

Simplify

\frac{- 6}{5} : - 1 \frac{1}{5}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{6}{5}

Convert improper fractions to mixed numbers:

\frac{6}{5} = 1 \frac{1}{5}

\frac{6}{5} = 1

Remainder

1

\frac{6}{5}

Write the problem in long division format

5 \overline{∣ 6}

Divide

6

5

to get

1

Divide

6

5

to get

1

1 5 \overline{∣ 6}

Multiply the quotient digit

(1)

by the divisor

5

1 5 \overline{∣ 6} \underline{5}

Subtract

5

from

6

1 5 \overline{∣ 6} \underline{5} 1

1 5 \overline{∣ 6} \underline{5} 1

The solution for Long Division of

\frac{6}{5}

1

with remainder of

1

1 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{6}{5} = 1 \frac{1}{5}

= 1 \frac{1}{5}

= - 1 \frac{1}{5}

= - 1 \frac{1}{5}

Popular Examples

16-8/3+14+2

16 - \frac{8}{3} + 14 + 2

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- (0)^{4} - 0^{3} + 0^{2} + 0 - 1

-2+5-13+8

- 2 + 5 - 13 + 8

(4+3)\times (8+1)\div 3

(4 + 3) \times (8 + 1) \div 3

123^2-53\times 123

12 3^{2} - 53 \times 123

Frequently Asked Questions (FAQ)

What is ((-2)-(-2)^2)/(1+(-2)^2) ?
The solution to ((-2)-(-2)^2)/(1+(-2)^2) is -1 1/5