What is (-2-4)/(-2^2-5(-2)-36) ?

The solution to (-2-4)/(-2^2-5(-2)-36) is 1/5

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(-2-4)/(-2^2-5(-2)-36)

\frac{- 2 - 4}{- 2 ^{2} - 5 ( - 2 ) - 36}

\frac{1}{5}

Solution steps

\frac{- 2 - 4}{- 2 ^{2} - 5 ( - 2 ) - 36}

Solve

- 2 - 4 : - 6

- 2 - 4 = - 6

= - 6

Solve

- 2^{2} - 5 (- 2) - 36 : - 30

Follow the PEMDAS order of operations

Calculate exponents

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= - 4 - 5 (- 2) - 36

Multiply and divide (left to right)

5 (- 2) : - 10

5 (- 2)

Apply rule

a \cdot (- b) = - a \cdot b

5 (- 2) = - 5 \cdot 2 = - 10

= - 10

= - 4 - (- 10) - 36

Add and subtract (left to right)

- 4 - (- 10) - 36 : - 30

- 4 - (- 10) - 36

Apply rule

- (- a) = + a

- (- 10) = + 10

= - 4 + 10 - 36

- 4 + 10 = 6

= 6 - 36

6 - 36 = - 30

= - 30

= - 30

= \frac{- 6}{- 30}

Simplify

\frac{- 6}{- 30} : \frac{1}{5}

Apply the fraction rule:

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

= \frac{6}{30}

Cancel the common factor:

6

= \frac{1}{5}

= \frac{1}{5}

2^{10} + 2^{0} + 2

4 (4)^{2} + 10

3 + 2 (- 3)

- 1 \times 2 \times (- 6)

7 + 3 \times 5