What is (4-13)^2-37 ?

The solution to (4-13)^2-37 is 44

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(4-13)^2-37

(4 - 13)^{2} - 37

44

Solution steps

(4 - 13)^{2} - 37

Follow the PEMDAS order of operations

Calculate within parentheses

(4 - 13) : - 9

4 - 13

4 - 13 = - 9

= - 9

= (- 9)^{2} - 37

Calculate exponents

(- 9)^{2} : 81

(- 9)^{2}

Apply exponent rule:

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

n

is even

(- 9)^{2} = 9^{2} = 81

= 81

= 81 - 37

Add and subtract (left to right)

81 - 37 : 44

81 - 37

81 - 37 = 44

= 44

= 44

\frac{13}{5} + \frac{6}{5}

3/2 + 2 + 1 + 1/4

4^{2} + 2 (4)

(- 6 - 4)^{2}

1 3^{2} + 2 0^{2}