What is (-2)^2+(-5)^2-(+2)^3+4^2-10^2 ?

The solution to (-2)^2+(-5)^2-(+2)^3+4^2-10^2 is -63

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(-2)^2+(-5)^2-(+2)^3+4^2-10^2

(- 2)^{2} + (- 5)^{2} - (+ 2)^{3} + 4^{2} - 1 0^{2}

- 63

Solution steps

(- 2)^{2} + (- 5)^{2} - (2)^{3} + 4^{2} - 1 0^{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 + (- 5)^{2} - (2)^{3} + 4^{2} - 1 0^{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 + 25 - (2)^{3} + 4^{2} - 1 0^{2}

Calculate exponents

(2)^{3} : 8

(2)^{3}

(2)^{3} = 8

= 8

= 4 + 25 - 8 + 4^{2} - 1 0^{2}

Calculate exponents

4^{2} : 16

4^{2}

4^{2} = 16

= 16

= 4 + 25 - 8 + 16 - 1 0^{2}

Calculate exponents

1 0^{2} : 100

1 0^{2}

1 0^{2} = 100

= 100

= 4 + 25 - 8 + 16 - 100

Add and subtract (left to right)

4 + 25 - 8 + 16 - 100 : - 63

4 + 25 - 8 + 16 - 100

4 + 25 = 29

= 29 - 8 + 16 - 100

29 - 8 = 21

= 21 + 16 - 100

21 + 16 = 37

= 37 - 100

37 - 100 = - 63

= - 63

= - 63

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

7^{2} \times 4^{2}

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

2^{3} + 4 2^{2} + 2 - 6

(10 - 3)^{2} + 2 [6 - 5 (3^{2} - 2)^{2}]

What is (-2)^2+(-5)^2-(+2)^3+4^2-10^2 ?
The solution to (-2)^2+(-5)^2-(+2)^3+4^2-10^2 is -63