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

The solution to (-4)^5+(-4)^3 is -1088

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

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

- 1088

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 4)^{5} : - 1024

(- 4)^{5}

Apply exponent rule:

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

n

is odd

(- 4)^{5} = - 4^{5} = - 1024

= - 1024

= - 1024 + (- 4)^{3}

Calculate exponents

(- 4)^{3} : - 64

(- 4)^{3}

Apply exponent rule:

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

n

is odd

(- 4)^{3} = - 4^{3} = - 64

= - 64

= - 1024 - 64

Add and subtract (left to right)

- 1024 - 64 : - 1088

- 1024 - 64

- 1024 - 64 = - 1088

= - 1088

= - 1088

(- 3 + 6) - 4 - (- 2) + 12

6320 - 1320 - 800

8^{2} - 2^{2} \cdot 3^{2} + 9

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

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