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Popular Pre Algebra >

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

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Solution

(−2)+(−3)2(−2)2(3)+(−2)−3​

Solution

−354​
+1
Decimal
−3.8
Solution steps
(−2)+(−3)2(−2)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=an,if n is even(−2)2=22=4=4
=2⋅4(3)+(−2)−3
Multiply and divide (left to right) 2⋅4(3):24
2⋅4(3)
2⋅4=8=8(3)
8(3)=24
8(3)
Apply rule: (a)=a(3)=3=8⋅3
Multiply the numbers: 8⋅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
=−519​
Simplify −519​:−354​
Apply the fraction rule: −ba​=−ba​=−519​
Convert improper fractions to mixed numbers:519​=354​
519​=3Remainder4
519​
Write the problem in long division format5∣19​​
Divide 19by 5to get 3
Divide 19by 5to get 335∣19​​
Multiply the quotient digit (3)by the divisor 535∣19​15​​
Subtract 15from 1935∣19​15​4​
35∣19​15​4​
The solution for Long Division of 519​is 3with remainder of 43Remainder4
Convert to mixed number: QuotientDivisorRemainder​519​=354​
=354​
=−354​
=−354​

Popular Examples

3^6+3^6+3^6-2+(3)(4)-(-5)88*3\div 6*10\div 2012(-2)^2+6(-2)-63*(-10)^2-6*(-10)

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

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