What is (-3)^4+(-5)^3-(-4)^0 ?

The solution to (-3)^4+(-5)^3-(-4)^0 is -45

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(-3)^4+(-5)^3-(-4)^0

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

- 45

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{4} : 81

(- 3)^{4}

Apply exponent rule:

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

n

is even

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

= 81

= 81 + (- 5)^{3} - (- 4)^{0}

Calculate exponents

(- 5)^{3} : - 125

(- 5)^{3}

Apply exponent rule:

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

n

is odd

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

= - 125

= 81 - 125 - (- 4)^{0}

Calculate exponents

(- 4)^{0} : 1

(- 4)^{0}

Apply exponent rule:

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

n

is even

(- 4)^{0} = 4^{0} = 1

= 1

= 81 - 125 - (- 4)^{0}

Add and subtract (left to right)

81 - 125 - (- 4)^{0} : - 45

81 - 125 - (- 4)^{0}

81 - 125 = - 44

= - 44 - (- 4)^{0}

- 44 - (- 4)^{0} = - 45

= - 45

= - 45

18 (- 6) - 3

3 - 8 \div (- 6 + 2)

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

2 - 29 - (- 8) - 11

2^{22} + 2^{10} + 1