The solution to 2-5(-3)^2 is -43

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2-5(-3)^2

Solution

2 - 5 (- 3)^{2}

- 43

Solution steps

2 - 5 (- 3)^{2}

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 - 5 \cdot 9

Multiply and divide (left to right)

5 \cdot 9 : 45

5 \cdot 9

5 \cdot 9 = 45

= 45

= 2 - 45

Add and subtract (left to right)

2 - 45 : - 43

2 - 45

2 - 45 = - 43

= - 43

= - 43

- 3 - 3 + 5 \times 3 - 1 \times 4

\frac{\frac{2}{3}}{\frac{13}{3}}

[(- 3^{4} + 2^{4})^{2} + 1] \div (- 13)

\frac{8}{1} + 2 \times 1

\frac{1}{3} (5)^{2} - 4