What is (-3(9-13)^2)/(6*2) ?

The solution to (-3(9-13)^2)/(6*2) is -4

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(-3(9-13)^2)/(6*2)

\frac{- 3 ( 9 - 13 ) ^{2}}{6 \cdot 2}

- 4

Solution steps

\frac{- 3 ( 9 - 13 ) ^{2}}{6 \cdot 2}

Solve

- 3 (9 - 13)^{2} : - 48

Follow the PEMDAS order of operations

Calculate within parentheses

(9 - 13) : - 4

9 - 13

9 - 13 = - 4

= - 4

= - 3 (- 4)^{2}

Calculate exponents

(- 4)^{2} : 16

(- 4)^{2}

Apply exponent rule:

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

n

is even

(- 4)^{2} = 4^{2} = 16

= 16

= - 3 \cdot 16

Multiply and divide (left to right)

- 3 \cdot 16 : - 48

- 3 \cdot 16

- 3 \cdot 16 = - 48

= - 48

= - 48

Solve

6 \cdot 2 : 12

6 \cdot 2 = 12

= 12

= \frac{- 48}{12}

Simplify

\frac{- 48}{12} : - 4

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{48}{12}

Divide the numbers:

\frac{48}{12} = 4

= - 4

= - 4

234 (5) + 3 (5)

(5 - 2)^{3} - (4) 2 + 3

(3 + 2) (3 - 2)

4 5^{2} + 2 8^{2}

2^{3} + 2^{0}