What is (3(1-2^7))/(1-2) ?

The solution to (3(1-2^7))/(1-2) is 381

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(3(1-2^7))/(1-2)

\frac{3 ( 1 - 2 ^{7} )}{1 - 2}

381

Solution steps

\frac{3 ( 1 - 2 ^{7} )}{1 - 2}

Solve

3 (1 - 2^{7}) : - 381

Follow the PEMDAS order of operations

Calculate within parentheses

(1 - 2^{7}) : - 127

1 - 2^{7}

Calculate exponents

2^{7} : 128

2^{7}

2^{7} = 128

= 128

= 1 - 128

Add and subtract (left to right)

1 - 128 : - 127

1 - 128

1 - 128 = - 127

= - 127

= - 127

= 3 (- 127)

Multiply and divide (left to right)

3 (- 127) : - 381

3 (- 127)

Apply rule

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

3 (- 127) = - 3 \cdot 127 = - 381

= - 381

= - 381

Solve

1 - 2 : - 1

1 - 2 = - 1

= - 1

= \frac{- 381}{- 1}

Simplify

\frac{- 381}{- 1} : 381

Apply the fraction rule:

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

= \frac{381}{1}

Apply rule

\frac{a}{1} = a

= 381

= 381

(- 3)^{2} - 2^{3}

(- 15) + (- 8) + (- 10) + (+ 19)

6^{2} - 1^{2}

3^{0} + 2^{3} - 5^{0}

\frac{1}{2} \times 2^{2}