The solution to 2(-3)^2-5 is 13

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2(-3)^2-5

Solution

2 (- 3)^{2} - 5

13

Solution steps

2 (- 3)^{2} - 5

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

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

n

is even

(- 3)^{2} = 3^{2} = 9

= 9

= 2 \cdot 9 - 5

Multiply and divide (left to right)

2 \cdot 9 : 18

2 \cdot 9

2 \cdot 9 = 18

= 18

= 18 - 5

Add and subtract (left to right)

18 - 5 : 13

18 - 5

18 - 5 = 13

= 13

= 13

\frac{180}{4}

144 + 25

12, 9

\frac{120}{2}

\frac{11}{12}