What is (2(-2)^2(3)+(-2)-3)/((-2)+(-3)) ?

The solution to (2(-2)^2(3)+(-2)-3)/((-2)+(-3)) is -3 4/5

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Popular >

(2(-2)^2(3)+(-2)-3)/((-2)+(-3))

Solution

\frac{2 ( - 2 ) ^{2} ( 3 ) + ( - 2 ) - 3}{( - 2 ) + ( - 3 )}

Solution

- 3 \frac{4}{5}

Solution steps

\frac{2 ( - 2 ) ^{2} ( 3 ) + ( - 2 ) - 3}{( - 2 ) + ( - 3 )}

Solve

2 (- 2)^{2} (3) + (- 2) - 3 : 19

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

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

n

is even

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

= 4

= 2 \cdot 4 (3) + (- 2) - 3

Multiply and divide (left to right)

2 \cdot 4 (3) : 24

2 \cdot 4 (3)

2 \cdot 4 = 8

= 8 (3)

8 (3) = 24

8 (3)

Apply rule:

(a) = a

(3) = 3

= 8 \cdot 3

Multiply the numbers:

8 \cdot 3 = 24

= 24

= 24

= 24 + (- 2) - 3

Add and subtract (left to right)

24 + (- 2) - 3 : 19

24 + (- 2) - 3

Apply rule

+ (- a) = - a

+ (- 2) = - 2

= 24 - 2 - 3

24 - 2 = 22

= 22 - 3

22 - 3 = 19

= 19

= 19

Solve

(- 2) + (- 3) : - 5

Follow the PEMDAS order of operations

Add and subtract (left to right)

Apply rule

+ (- a) = - a

+ (- 3) = - 3

= (- 2) - 3

(- 2) - 3 = - 5

= - 5

= \frac{19}{- 5}

Simplify

\frac{19}{- 5} : - 3 \frac{4}{5}

Apply the fraction rule:

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

= - \frac{19}{5}

Convert improper fractions to mixed numbers:

\frac{19}{5} = 3 \frac{4}{5}

\frac{19}{5} = 3

Remainder

4

\frac{19}{5}

Write the problem in long division format

5 \overline{∣ 19}

Divide

19

5

to get

3

Divide

19

5

to get

3

3 5 \overline{∣ 19}

Multiply the quotient digit

(3)

by the divisor

5

3 5 \overline{∣ 19} \underline{15}

Subtract

15

from

19

3 5 \overline{∣ 19} \underline{15} 4

3 5 \overline{∣ 19} \underline{15} 4

The solution for Long Division of

\frac{19}{5}

3

with remainder of

4

3 Remainder 4

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{19}{5} = 3 \frac{4}{5}

= 3 \frac{4}{5}

= - 3 \frac{4}{5}

= - 3 \frac{4}{5}

Popular Examples

3^6+3^6+3^6

3^{6} + 3^{6} + 3^{6}

-2+(3)(4)-(-5)8

- 2 + (3) (4) - (- 5) 8

8*3\div 6*10\div 20

8 \cdot 3 \div 6 \cdot 10 \div 20

5(0)-7

5 (0) - 7

12(-2)^2+6(-2)-6

12 (- 2)^{2} + 6 (- 2) - 6

Frequently Asked Questions (FAQ)

What is (2(-2)^2(3)+(-2)-3)/((-2)+(-3)) ?
The solution to (2(-2)^2(3)+(-2)-3)/((-2)+(-3)) is -3 4/5