What is (-3-11)\times (1-5)^2 ?

The solution to (-3-11)\times (1-5)^2 is -224

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(-3-11)\times (1-5)^2

(- 3 - 11) \cdot (1 - 5)^{2}

- 224

Solution steps

(- 3 - 11) (1 - 5)^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(- 3 - 11) : - 14

- 3 - 11

- 3 - 11 = - 14

= - 14

= - 14 (1 - 5)^{2}

Calculate within parentheses

(1 - 5) : - 4

1 - 5

1 - 5 = - 4

= - 4

= - 14 (- 4)^{2}

Calculate exponents

(- 4)^{2} : 16

(- 4)^{2}

Apply exponent rule:

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

n

is even

(- 4)^{2} = 4^{2} = 16

= 16

= - 14 \cdot 16

Multiply and divide (left to right)

- 14 \cdot 16 : - 224

- 14 \cdot 16

- 14 \cdot 16 = - 224

= - 224

= - 224

3 \cdot 5 \cdot \frac{4}{5} + 2 \cdot 5^{2}

(- 7) + 12 + 6 + (- 5) + (- 3) + 7

5^{2} \times 6^{2}

\frac{1}{2} + 6 (1 + \frac{1}{2})

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