The solution to (3-4^2)^2 is 169

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(3-4^2)^2

Solution

(3 - 4^{2})^{2}

169

Solution steps

(3 - 4^{2})^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(3 - 4^{2}) : - 13

3 - 4^{2}

Calculate exponents

4^{2} : 16

4^{2}

4^{2} = 16

= 16

= 3 - 16

Add and subtract (left to right)

3 - 16 : - 13

3 - 16

3 - 16 = - 13

= - 13

= - 13

= (- 13)^{2}

Calculate exponents

(- 13)^{2} : 169

(- 13)^{2}

Apply exponent rule:

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

n

is even

(- 13)^{2} = 1 3^{2} = 169

= 169

= 169

5 + 2 - 3 + 1

\frac{1}{2} (8)^{2}

3 6^{4} - 2 6^{4} - 1 0^{4}

2 (- 3)^{2} - 3 (- 3) + 1

\frac{1}{3} (- 6)^{2} - 2