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

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

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

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

- \frac{1}{2}

Solution steps

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

Solve

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

Follow the PEMDAS order of operations

Calculate exponents

(- 1)^{2} : 1

(- 1)^{2}

Apply exponent rule:

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

n

is even

(- 1)^{2} = 1^{2} = 1

= 1

= 1 + 1

Add and subtract (left to right)

1 + 1 : 2

1 + 1

1 + 1 = 2

= 2

= 2

= \frac{- 1}{2}

Apply the fraction rule:

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

= - \frac{1}{2}

6^{2} - 5^{3}

(1) + (1) (1) + (3) (- 1)

\frac{1}{2} \cdot 0 + 2

2 (0) + 7

24 \times 9 \times 3 \div 6