What is 10^4-4(10)^3+2(10)^2+10(10)-200 ?

The solution to 10^4-4(10)^3+2(10)^2+10(10)-200 is 6100

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10^4-4(10)^3+2(10)^2+10(10)-200

1 0^{4} - 4 (10)^{3} + 2 (10)^{2} + 10 (10) - 200

6100

Solution steps

1 0^{4} - 4 (10)^{3} + 2 (10)^{2} + 10 (10) - 200

Follow the PEMDAS order of operations

Calculate exponents

1 0^{4} : 10000

= 10000 - 4 (10)^{3} + 2 (10)^{2} + 10 (10) - 200

Calculate exponents

(10)^{3} : 1000

= 10000 - 4 \cdot 1000 + 2 (10)^{2} + 10 (10) - 200

Calculate exponents

(10)^{2} : 100

= 10000 - 4 \cdot 1000 + 2 \cdot 100 + 10 (10) - 200

Multiply and divide (left to right)

4 \cdot 1000 : 4000

= 10000 - 4000 + 2 \cdot 100 + 10 (10) - 200

Multiply and divide (left to right)

2 \cdot 100 : 200

= 10000 - 4000 + 200 + 10 (10) - 200

Multiply and divide (left to right)

10 (10) : 100

= 10000 - 4000 + 200 + 100 - 200

Add and subtract (left to right)

10000 - 4000 + 200 + 100 - 200 : 6100

= 6100

- 15 \div 45 - 14 + 8 - 11

- 16 + 44 + 3 - 12

- 3 - [- 4 + 6 (3 - 2) - (2 - 4) + 8]

20 + 13 - 12 + 11 - 10 + 7 \times 5 - 12 \div 3 \times 2

4 + (2 \times 3)^{2}

What is 10^4-4(10)^3+2(10)^2+10(10)-200 ?
The solution to 10^4-4(10)^3+2(10)^2+10(10)-200 is 6100