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

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

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

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

4

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 5)^{3} : - 125

(- 5)^{3}

Apply exponent rule:

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

n

is odd

(- 5)^{3} = - 5^{3} = - 125

= - 125

= - 125 + (- 3)^{4} - (- 2)^{5} + (- 4)^{2}

Calculate exponents

(- 3)^{4} : 81

(- 3)^{4}

Apply exponent rule:

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

n

is even

(- 3)^{4} = 3^{4} = 81

= 81

= - 125 + 81 - (- 2)^{5} + (- 4)^{2}

Calculate exponents

(- 2)^{5} : - 32

(- 2)^{5}

Apply exponent rule:

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

n

is odd

(- 2)^{5} = - 2^{5} = - 32

= - 32

= - 125 + 81 - (- 32) + (- 4)^{2}

Calculate exponents

(- 4)^{2} : 16

(- 4)^{2}

Apply exponent rule:

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

n

is even

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

= 16

= - 125 + 81 - (- 32) + 16

Add and subtract (left to right)

- 125 + 81 - (- 32) + 16 : 4

- 125 + 81 - (- 32) + 16

- 125 + 81 = - 44

= - 44 - (- 32) + 16

Apply rule

- (- a) = + a

- (- 32) = + 32

= - 44 + 32 + 16

- 44 + 32 = - 12

= - 12 + 16

- 12 + 16 = 4

= 4

= 4

10 \times 6 + 7 + 2 \times 4^{2}

9 + 2 \times 3

30 \div (- 6) + 20 \div (- 5)

1 + 1 \cdot 2

10 + (6^{2} - 12)

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