Solve 2^4-9{8-6|3^2-6*5-7(9+7^3)+10|-5}+8|36div6-5(2*3)|

$$2 ^ { 4 } - 9 \{ 8 - 6 | 3 ^ { 2 } - 6 \cdot 5 - 7 ( 9 + 7 ^ { 3 } ) + 10 | - 5 \} + 8 | 36 \div 6 - 5 ( 2 \cdot 3 ) |$$

Evaluate

$$133831$$

Solution Steps

Calculate 2 to the power of 4 and get 16.

$$16-9\left(8-6|3^{2}-6\times 5-7\left(9+7^{3}\right)+10|-5\right)+8|\frac{36}{6}-5\times 2\times 3|$$

Calculate 3 to the power of 2 and get 9.

$$16-9\left(8-6|9-6\times 5-7\left(9+7^{3}\right)+10|-5\right)+8|\frac{36}{6}-5\times 2\times 3|$$

Multiply 6 and 5 to get 30.

$$16-9\left(8-6|9-30-7\left(9+7^{3}\right)+10|-5\right)+8|\frac{36}{6}-5\times 2\times 3|$$

Subtract 30 from 9 to get -21.

$$16-9\left(8-6|-21-7\left(9+7^{3}\right)+10|-5\right)+8|\frac{36}{6}-5\times 2\times 3|$$

Calculate 7 to the power of 3 and get 343.

$$16-9\left(8-6|-21-7\left(9+343\right)+10|-5\right)+8|\frac{36}{6}-5\times 2\times 3|$$

Add 9 and 343 to get 352.

$$16-9\left(8-6|-21-7\times 352+10|-5\right)+8|\frac{36}{6}-5\times 2\times 3|$$

Multiply 7 and 352 to get 2464.

$$16-9\left(8-6|-21-2464+10|-5\right)+8|\frac{36}{6}-5\times 2\times 3|$$

Subtract 2464 from -21 to get -2485.

$$16-9\left(8-6|-2485+10|-5\right)+8|\frac{36}{6}-5\times 2\times 3|$$

Add -2485 and 10 to get -2475.

$$16-9\left(8-6|-2475|-5\right)+8|\frac{36}{6}-5\times 2\times 3|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -2475 is 2475.

$$16-9\left(8-6\times 2475-5\right)+8|\frac{36}{6}-5\times 2\times 3|$$

Multiply 6 and 2475 to get 14850.

$$16-9\left(8-14850-5\right)+8|\frac{36}{6}-5\times 2\times 3|$$

Subtract 14850 from 8 to get -14842.

$$16-9\left(-14842-5\right)+8|\frac{36}{6}-5\times 2\times 3|$$

Subtract 5 from -14842 to get -14847.

$$16-9\left(-14847\right)+8|\frac{36}{6}-5\times 2\times 3|$$

Multiply 9 and -14847 to get -133623.

$$16-\left(-133623\right)+8|\frac{36}{6}-5\times 2\times 3|$$

The opposite of -133623 is 133623.

$$16+133623+8|\frac{36}{6}-5\times 2\times 3|$$

Add 16 and 133623 to get 133639.

$$133639+8|\frac{36}{6}-5\times 2\times 3|$$

Divide 36 by 6 to get 6.

$$133639+8|6-5\times 2\times 3|$$

Multiply 5 and 2 to get 10.

$$133639+8|6-10\times 3|$$

Multiply 10 and 3 to get 30.

$$133639+8|6-30|$$

Subtract 30 from 6 to get -24.

$$133639+8|-24|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -24 is 24.

$$133639+8\times 24$$

Multiply 8 and 24 to get 192.

$$133639+192$$

Add 133639 and 192 to get 133831.

$$133831$$

Factor

$$133831$$