What is -4^2+(3-5)*(-2)^3+3^2-(-2)^4 ?

The solution to -4^2+(3-5)*(-2)^3+3^2-(-2)^4 is -7

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-4^2+(3-5)*(-2)^3+3^2-(-2)^4

- 4^{2} + (3 - 5) \cdot (- 2)^{3} + 3^{2} - (- 2)^{4}

- 7

Solution steps

- 4^{2} + (3 - 5) (- 2)^{3} + 3^{2} - (- 2)^{4}

Follow the PEMDAS order of operations

Calculate within parentheses

(3 - 5) : - 2

3 - 5

3 - 5 = - 2

= - 2

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

Calculate exponents

4^{2} : 16

4^{2}

4^{2} = 16

= 16

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

Calculate exponents

(- 2)^{3} : - 8

(- 2)^{3}

Apply exponent rule:

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

n

is odd

(- 2)^{3} = - 2^{3} = - 8

= - 8

= - 16 - 2 (- 8) + 3^{2} - (- 2)^{4}

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= - 16 - 2 (- 8) + 9 - (- 2)^{4}

Calculate exponents

(- 2)^{4} : 16

(- 2)^{4}

Apply exponent rule:

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

n

is even

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

= 16

= - 16 - 2 (- 8) + 9 - 16

Multiply and divide (left to right)

2 (- 8) : - 16

2 (- 8)

Apply rule

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

2 (- 8) = - 2 \cdot 8 = - 16

= - 16

= - 16 - (- 16) + 9 - 16

Add and subtract (left to right)

- 16 - (- 16) + 9 - 16 : - 7

- 16 - (- 16) + 9 - 16

Apply rule

- (- a) = + a

- (- 16) = + 16

= - 16 + 16 + 9 - 16

- 16 + 16 = 0

= 0 + 9 - 16

0 + 9 = 9

= 9 - 16

9 - 16 = - 7

= - 7

= - 7

(\frac{3}{4} + \frac{3}{6}) - \frac{1}{2}

\frac{1}{2} + \frac{2}{4}

\frac{1}{2} + \frac{2}{8}

(11 - 3)^{2}

- 14 + 9 \times 12 \div 36 - 15 + 13

What is -4^2+(3-5)*(-2)^3+3^2-(-2)^4 ?
The solution to -4^2+(3-5)*(-2)^3+3^2-(-2)^4 is -7