What is 2(2)^2-(5)^3-(-3)^3-(-1)^5 ?

The solution to 2(2)^2-(5)^3-(-3)^3-(-1)^5 is -89

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2(2)^2-(5)^3-(-3)^3-(-1)^5

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

- 89

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(2)^{2} : 4

(2)^{2}

(2)^{2} = 4

= 4

= 2 \cdot 4 - (5)^{3} - (- 3)^{3} - (- 1)^{5}

Calculate exponents

(5)^{3} : 125

(5)^{3}

(5)^{3} = 125

= 125

= 2 \cdot 4 - 125 - (- 3)^{3} - (- 1)^{5}

Calculate exponents

(- 3)^{3} : - 27

(- 3)^{3}

Apply exponent rule:

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

n

is odd

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

= - 27

= 2 \cdot 4 - 125 - (- 27) - (- 1)^{5}

Calculate exponents

(- 1)^{5} : - 1

(- 1)^{5}

Apply exponent rule:

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

n

is odd

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

= - 1

= 2 \cdot 4 - 125 - (- 27) - (- 1)

Multiply and divide (left to right)

2 \cdot 4 : 8

2 \cdot 4

2 \cdot 4 = 8

= 8

= 8 - 125 - (- 27) - (- 1)

Add and subtract (left to right)

8 - 125 - (- 27) - (- 1) : - 89

8 - 125 - (- 27) - (- 1)

8 - 125 = - 117

= - 117 - (- 27) - (- 1)

Apply rule

- (- a) = + a

- (- 27) = + 27

= - 117 + 27 - (- 1)

- 117 + 27 = - 90

= - 90 - (- 1)

Apply rule

- (- a) = + a

- (- 1) = + 1

= - 90 + 1

- 90 + 1 = - 89

= - 89

= - 89

3 - 6 \times (5 - 7)

\frac{4 \times 1 0 ^{2}}{5 \times 1 0 ^{2}}

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

4 - \frac{1}{4} \times 1

4 + 5 - 7 + 2 - 8

What is 2(2)^2-(5)^3-(-3)^3-(-1)^5 ?
The solution to 2(2)^2-(5)^3-(-3)^3-(-1)^5 is -89