Combine like terms for:

(2a^{2}b^{3}c^{4} - 6x^{3}y^{4}z^{5} + 7l^{7}m^{8}n^{9})^{5}

Remove the parentheses since no simplification is required

2a

2a^{2} ← There is only one a^{2} term

b^{3} ← There is only one b^{3} term

c^{4} ← There is only one c^{4} term

-6x^{3} ← There is only one x^{3} term

y^{4} ← There is only one y^{4} term

z^{5} ← There is only one z^{5} term

7l^{7} ← There is only one l^{7} term

m^{8} ← There is only one m^{8} term

n^{9} ← There is only one n^{9} term

**n ^{9} + m^{8} + 7l^{7} + z^{5} + c^{4} + y^{4} + b^{3} - 6x^{3} + 2a^{2}**

Analyze the 9 terms of the polynomial n^{9} + m^{8} + 7l^{7} + z^{5} + c^{4} + y^{4} + b^{3} - 6x^{3} + 2a^{2}

Term 1 is n^{9}

Since there is no coefficient

our coefficient is 1

Our variable piece is n

Raise our variable to the power of 9

Term 2 is m^{8}

Since there is no coefficient

our coefficient is 1

Our variable piece is m

Raise our variable to the power of 8

Term 3 is 7l^{7}

Our coefficient/constant is 7

Our variable piece is l

Raise our variable to the power of 7

Term 4 is z^{5}

Since there is no coefficient

our coefficient is 1

Our variable piece is z

Raise our variable to the power of 5

Term 5 is c^{4}

Since there is no coefficient

our coefficient is 1

Our variable piece is c

Raise our variable to the power of 4

Term 6 is y^{4}

Since there is no coefficient

our coefficient is 1

Our variable piece is y

Raise our variable to the power of 4

Term 7 is b^{3}

Since there is no coefficient

our coefficient is 1

Our variable piece is b

Raise our variable to the power of 3

Term 8 is -6x^{3}

Our coefficient/constant is -6

Our variable piece is x

Raise our variable to the power of 3

Term 9 is 2a^{2}

Our coefficient/constant is 2

Our variable piece is a

Raise our variable to the power of 2

Highest exponent for n = 9

Highest exponent for m = 8

Highest exponent for l = 7

Highest exponent for z = 5

Highest exponent for c = 4

Highest exponent for y = 4

Highest exponent for b = 3

Highest exponent for x = 3

Highest exponent for a = 2

Since there is no coefficient

our coefficient is 1

Our variable piece is n

Raise our variable to the power of 9

Since there is no coefficient

our coefficient is 1

Our variable piece is m

Raise our variable to the power of 8

Our coefficient/constant is 7

Our variable piece is l

Raise our variable to the power of 7

Since there is no coefficient

our coefficient is 1

Our variable piece is z

Raise our variable to the power of 5

Since there is no coefficient

our coefficient is 1

Our variable piece is c

Raise our variable to the power of 4

Since there is no coefficient

our coefficient is 1

Our variable piece is y

Raise our variable to the power of 4

Since there is no coefficient

our coefficient is 1

Our variable piece is b

Raise our variable to the power of 3

Our coefficient/constant is -6

Our variable piece is x

Raise our variable to the power of 3

Our coefficient/constant is 2

Our variable piece is a

Raise our variable to the power of 2

our coefficient is 1

Our variable piece is n

Raise our variable to the power of 9

Since there is no coefficient

our coefficient is 1

Our variable piece is m

Raise our variable to the power of 8

Our coefficient/constant is 7

Our variable piece is l

Raise our variable to the power of 7

Since there is no coefficient

our coefficient is 1

Our variable piece is z

Raise our variable to the power of 5

Since there is no coefficient

our coefficient is 1

Our variable piece is c

Raise our variable to the power of 4

Since there is no coefficient

our coefficient is 1

Our variable piece is y

Raise our variable to the power of 4

Since there is no coefficient

our coefficient is 1

Our variable piece is b

Raise our variable to the power of 3

Our coefficient/constant is -6

Our variable piece is x

Raise our variable to the power of 3

Our coefficient/constant is 2

Our variable piece is a

Raise our variable to the power of 2

Free Polynomial Calculator - This calculator will take an expression without division signs and combine like terms.

It will also analyze an polynomial that you enter to identify constant, variables, and exponents. It determines the degree as well.

This calculator has 1 input.

It will also analyze an polynomial that you enter to identify constant, variables, and exponents. It determines the degree as well.

This calculator has 1 input.

For cx^{n}, we have c as our constant, x as our variable, n as our exponent.

Variables can be any letter but e or i.

For more math formulas, check out our Formula Dossier

Variables can be any letter but e or i.

For more math formulas, check out our Formula Dossier

- constant
- a value that always assumes the same value independent of how its parameters are varied
- exponent
- The power to raise a number
- expression
- finite combination of symbols
- polynomial
- an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
- term
- a single number or variable, or numbers and variables multiplied together
- variable
- Alphabetic character representing a number

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