The solution to (2^2+1)^2 is 25

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(2^2+1)^2

Solution

(2^{2} + 1)^{2}

25

Solution steps

(2^{2} + 1)^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(2^{2} + 1) : 5

2^{2} + 1

Calculate exponents

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= 4 + 1

Add and subtract (left to right)

4 + 1 : 5

4 + 1

4 + 1 = 5

= 5

= 5

= 5^{2}

Calculate exponents

5^{2} : 25

5^{2}

5^{2} = 25

= 25

= 25

20 + 5 \times (25 - 10)

(3 + 1) (- 2 - 1) - (6 - 10) \div (5 - 3) + (- 3 - 7)

208 \times 5 \div 4

30 + (4 + 30 \div 5) - 8 \div 4 + 2

15 \div 5 - 6 \div 3 + 49 \div 7 - 22 \div 2