What is 5^2+5^2-(19-3^4+2)^2 ?

The solution to 5^2+5^2-(19-3^4+2)^2 is -3550

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5^2+5^2-(19-3^4+2)^2

5^{2} + 5^{2} - (19 - 3^{4} + 2)^{2}

- 3550

Solution steps

5^{2} + 5^{2} - (19 - 3^{4} + 2)^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(19 - 3^{4} + 2) : - 60

19 - 3^{4} + 2

Calculate exponents

3^{4} : 81

3^{4}

3^{4} = 81

= 81

= 19 - 81 + 2

Add and subtract (left to right)

19 - 81 + 2 : - 60

19 - 81 + 2

19 - 81 = - 62

= - 62 + 2

- 62 + 2 = - 60

= - 60

= - 60

= 5^{2} + 5^{2} - (- 60)^{2}

Calculate exponents

5^{2} : 25

5^{2}

5^{2} = 25

= 25

= 25 + 5^{2} - (- 60)^{2}

Calculate exponents

5^{2} : 25

5^{2}

5^{2} = 25

= 25

= 25 + 25 - (- 60)^{2}

Calculate exponents

(- 60)^{2} : 3600

(- 60)^{2}

Apply exponent rule:

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

n

is even

(- 60)^{2} = 6 0^{2} = 3600

= 3600

= 25 + 25 - 3600

Add and subtract (left to right)

25 + 25 - 3600 : - 3550

25 + 25 - 3600

25 + 25 = 50

= 50 - 3600

50 - 3600 = - 3550

= - 3550

= - 3550

2 + 2 \div 2

2 [4 (7 + 4 (5 \times 3 - 9))] - 3 (40 - 8)

5 (2)^{4}

3 (- 2)^{3} + 5

- 3^{2} - 9