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

The solution to (-2)^2+(-3)^3-(-5)^2 is -48

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

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

- 48

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

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

n

is even

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

= 4

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

Calculate exponents

(- 3)^{3} : - 27

(- 3)^{3}

Apply exponent rule:

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

n

is odd

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

= - 27

= 4 - 27 - (- 5)^{2}

Calculate exponents

(- 5)^{2} : 25

(- 5)^{2}

Apply exponent rule:

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

n

is even

(- 5)^{2} = 5^{2} = 25

= 25

= 4 - 27 - (- 5)^{2}

Add and subtract (left to right)

4 - 27 - (- 5)^{2} : - 48

4 - 27 - (- 5)^{2}

4 - 27 = - 23

= - 23 - (- 5)^{2}

- 23 - (- 5)^{2} = - 48

= - 48

= - 48

\times 2 + 2 \times + 1

- (- 3)^{2} - 3

- (- 3)^{2} + 4

(4 \times 2)^{2}

4 (7 - [2 \times 9^{2} - (8 - 16) + 20 \div 2])