What is -(-4)^2+7(-2)^4-2(-3)^3 ?

The solution to -(-4)^2+7(-2)^4-2(-3)^3 is 150

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-(-4)^2+7(-2)^4-2(-3)^3

- (- 4)^{2} + 7 (- 2)^{4} - 2 (- 3)^{3}

150

Solution steps

- (- 4)^{2} + 7 (- 2)^{4} - 2 (- 3)^{3}

Follow the PEMDAS order of operations

Calculate exponents

(- 4)^{2} : 16

(- 4)^{2}

Apply exponent rule:

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

n

is even

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

= 16

= - 16 + 7 (- 2)^{4} - 2 (- 3)^{3}

Calculate exponents

(- 2)^{4} : 16

(- 2)^{4}

Apply exponent rule:

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

n

is even

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

= 16

= - 16 + 7 \cdot 16 - 2 (- 3)^{3}

Calculate exponents

(- 3)^{3} : - 27

(- 3)^{3}

Apply exponent rule:

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

n

is odd

(- 3)^{3} = - 3^{3} = - 27

= - 27

= - 16 + 7 \cdot 16 - 2 (- 27)

Multiply and divide (left to right)

7 \cdot 16 : 112

7 \cdot 16

7 \cdot 16 = 112

= 112

= - 16 + 112 - 2 (- 27)

Multiply and divide (left to right)

2 (- 27) : - 54

2 (- 27)

Apply rule

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

2 (- 27) = - 2 \cdot 27 = - 54

= - 54

= - 16 + 112 - (- 54)

Add and subtract (left to right)

- 16 + 112 - (- 54) : 150

- 16 + 112 - (- 54)

- 16 + 112 = 96

= 96 - (- 54)

Apply rule

- (- a) = + a

- (- 54) = + 54

= 96 + 54

96 + 54 = 150

= 150

= 150

- 12 + (- 64) + (- 17) + 4

9 + \frac{15}{5} \cdot 13

3 (4)^{2}

(5 + 3)^{2}

2^{2} + 3

What is -(-4)^2+7(-2)^4-2(-3)^3 ?
The solution to -(-4)^2+7(-2)^4-2(-3)^3 is 150