What is -4(-6)^2+4(-6)-1 ?

The solution to -4(-6)^2+4(-6)-1 is -169

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-4(-6)^2+4(-6)-1

- 4 (- 6)^{2} + 4 (- 6) - 1

- 169

Solution steps

- 4 (- 6)^{2} + 4 (- 6) - 1

Follow the PEMDAS order of operations

Calculate exponents

(- 6)^{2} : 36

(- 6)^{2}

Apply exponent rule:

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

n

is even

(- 6)^{2} = 6^{2} = 36

= 36

= - 4 \cdot 36 + 4 (- 6) - 1

Multiply and divide (left to right)

- 4 \cdot 36 : - 144

- 4 \cdot 36

- 4 \cdot 36 = - 144

= - 144

= - 144 + 4 (- 6) - 1

Multiply and divide (left to right)

4 (- 6) : - 24

4 (- 6)

Apply rule

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

4 (- 6) = - 4 \cdot 6 = - 24

= - 24

= - 144 - 24 - 1

Add and subtract (left to right)

- 144 - 24 - 1 : - 169

- 144 - 24 - 1

- 144 - 24 = - 168

= - 168 - 1

- 168 - 1 = - 169

= - 169

= - 169

\frac{- 3 \cdot 1 - 4}{- 5 \cdot 1 - 3}

(2 - 1)^{2} + 1

\frac{7}{4} - (- 1)^{2}

(2 - 1)^{2} - 3

7^{2} \cdot 5