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

- 89

Solution steps

2 \cdot 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

\frac{- 3 ^{0}}{- 3 ^{2}}

2 (- 3 - 5)^{2} + 7

(4 + 8)^{2}

0 + 1 (\frac{1}{2})

35 - 2 - 2 - 2 - 1

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