What is (-5^3)^8+(-5^8)^3 ?

The solution to (-5^3)^8+(-5^8)^3 is 0

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(-5^3)^8+(-5^8)^3

(- 5^{3})^{8} + (- 5^{8})^{3}

0

Solution steps

(- 5^{3})^{8} + (- 5^{8})^{3}

Follow the PEMDAS order of operations

Calculate within parentheses

(- 5^{3}) : - 125

- 5^{3}

- 5^{3} = - 125

= - 125

= (- 125)^{8} + (- 5^{8})^{3}

Calculate within parentheses

(- 5^{8}) : - 390625

- 5^{8}

- 5^{8} = - 390625

= - 390625

= (- 125)^{8} + (- 390625)^{3}

Calculate exponents

(- 125)^{8} : 5.96046 E 16

(- 125)^{8}

Apply exponent rule:

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

n

is even

(- 125)^{8} = 12 5^{8} = 5.96046 E 16

= 5.96046 E 16

= 5.96046 E 16 + (- 390625)^{3}

Calculate exponents

(- 390625)^{3} : - 5.96046 E 16

(- 390625)^{3}

Apply exponent rule:

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

n

is odd

(- 390625)^{3} = - 39062 5^{3} = - 5.96046 E 16

= - 5.96046 E 16

= 5.96046 E 16 - 5.96046 E 16

Add and subtract (left to right)

5.96046 E 16 - 5.96046 E 16 : 0

5.96046 E 16 - 5.96046 E 16

5.96046 E 16 - 5.96046 E 16 = 0

= 0

= 0

727 + 123 - (560 \div 8 \times 3 + 5 \times 54)

148 - 5^{3} - 2^{2} - 2^{3} + 3 (2^{5} - 4^{3})

(2 - 10) + [5 - (8 + 2)]

3 (- 1)^{2} + 6 (- 1)

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