What is (8+2)^2+6^3-2^4+(-5)^3 ?

The solution to (8+2)^2+6^3-2^4+(-5)^3 is 175

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(8+2)^2+6^3-2^4+(-5)^3

(8 + 2)^{2} + 6^{3} - 2^{4} + (- 5)^{3}

175

Solution steps

(8 + 2)^{2} + 6^{3} - 2^{4} + (- 5)^{3}

Follow the PEMDAS order of operations

Calculate within parentheses

(8 + 2) : 10

8 + 2

8 + 2 = 10

= 10

= 1 0^{2} + 6^{3} - 2^{4} + (- 5)^{3}

Calculate exponents

1 0^{2} : 100

1 0^{2}

1 0^{2} = 100

= 100

= 100 + 6^{3} - 2^{4} + (- 5)^{3}

Calculate exponents

6^{3} : 216

6^{3}

6^{3} = 216

= 216

= 100 + 216 - 2^{4} + (- 5)^{3}

Calculate exponents

2^{4} : 16

2^{4}

2^{4} = 16

= 16

= 100 + 216 - 16 + (- 5)^{3}

Calculate exponents

(- 5)^{3} : - 125

(- 5)^{3}

Apply exponent rule:

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

n

is odd

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

= - 125

= 100 + 216 - 16 - 125

Add and subtract (left to right)

100 + 216 - 16 - 125 : 175

100 + 216 - 16 - 125

100 + 216 = 316

= 316 - 16 - 125

316 - 16 = 300

= 300 - 125

300 - 125 = 175

= 175

= 175

160 (5) - 16 (5)^{2}

- 3^{2} - 6

35 - 14 \div 2 + 8^{2}

9^{2} - 7^{2}

2 (3 - 1) + 3 [1 - 2 (2)] + 2 (4 - 1) (2 + 1)