What is (-2)^9+(2+4/2+1)4 ?

The solution to (-2)^9+(2+4/2+1)4 is -492

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(-2)^9+(2+4/2+1)4

(- 2)^{9} + (2 + 4/2 + 1) 4

- 492

Solution steps

(- 2)^{9} + (2 + 4/2 + 1) \cdot 4

Follow the PEMDAS order of operations

Calculate within parentheses

(2 + 4/2 + 1) : 5

2 + 4/2 + 1

Multiply and divide (left to right)

4/2 : 2

4/2

4/2 = 2

= 2

= 2 + 2 + 1

Add and subtract (left to right)

2 + 2 + 1 : 5

2 + 2 + 1

2 + 2 = 4

= 4 + 1

4 + 1 = 5

= 5

= 5

= (- 2)^{9} + 5 \cdot 4

Calculate exponents

(- 2)^{9} : - 512

(- 2)^{9}

Apply exponent rule:

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

n

is odd

(- 2)^{9} = - 2^{9} = - 512

= - 512

= - 512 + 5 \cdot 4

Multiply and divide (left to right)

5 \cdot 4 : 20

5 \cdot 4

5 \cdot 4 = 20

= 20

= - 512 + 20

Add and subtract (left to right)

- 512 + 20 : - 492

- 512 + 20

- 512 + 20 = - 492

= - 492

= - 492

- (1 + 1)^{2}

20 - 12 (36 \div 3^{2} \div 2)

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

\frac{( 7 ^{2} - 33 )}{2 ^{3}}

10 \div 5 + 4 - 16 \div 8 - 2 + 4 \div 4 - 1