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

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Combine like terms for (2a2b3c4 - 6x3y4z5 + 7l7m8n9)5

We first need to simplify the expression removing parentheses
Remove the parentheses since no simplification is required
2a2b3c4 - 6x3y4z5 + 7l7m8n95

Evaluate the a2 terms:
2a2 ← There is only one a2 term

Evaluate the b3 terms:
b3 ← There is only one b3 term

Evaluate the c4 terms:
c4 ← There is only one c4 term

Evaluate the x3 terms:
-6x3 ← There is only one x3 term

Evaluate the y4 terms:
y4 ← There is only one y4 term

Evaluate the z5 terms:
z5 ← There is only one z5 term

Evaluate the l7 terms:
7l7 ← There is only one l7 term

Evaluate the m8 terms:
m8 ← There is only one m8 term

Evaluate the n9 terms:
n9 ← There is only one n9 term

Combining all like terms, we get:
n9 + m8 + 7l7 + z5 + y4 + c4 + b3 - 6x3 + 2a2

Analyze the 9 terms of the polynomial n9 + m8 + 7l7 + z5 + y4 + c4 + b3 - 6x3 + 2a2

Analyze Term 1
Term 1 is n9
Since there is no coefficient before our variable, (term does not start with a number), our coefficient is 1
Our variable is the letter which is n
The exponent of our variable is the power that the variable is raised to which is 9
Analyze Term 2
Term 2 is m8
Since there is no coefficient before our variable, (term does not start with a number), our coefficient is 1
Our variable is the letter which is m
The exponent of our variable is the power that the variable is raised to which is 8
Analyze Term 3
Term 3 is 7l7
Our coefficient/constant is the number our term begins which is 7
Our variable is the letter which is l
The exponent of our variable is the power that the variable is raised to which is 7
Analyze Term 4
Term 4 is z5
Since there is no coefficient before our variable, (term does not start with a number), our coefficient is 1
Our variable is the letter which is z
The exponent of our variable is the power that the variable is raised to which is 5
Analyze Term 5
Term 5 is y4
Since there is no coefficient before our variable, (term does not start with a number), our coefficient is 1
Our variable is the letter which is y
The exponent of our variable is the power that the variable is raised to which is 4
Analyze Term 6
Term 6 is c4
Since there is no coefficient before our variable, (term does not start with a number), our coefficient is 1
Our variable is the letter which is c
The exponent of our variable is the power that the variable is raised to which is 4
Analyze Term 7
Term 7 is b3
Since there is no coefficient before our variable, (term does not start with a number), our coefficient is 1
Our variable is the letter which is b
The exponent of our variable is the power that the variable is raised to which is 3
Analyze Term 8
Term 8 is -6x3
Our coefficient/constant is the number our term begins which is -6
Our variable is the letter which is x
The exponent of our variable is the power that the variable is raised to which is 3
Analyze Term 9
Term 9 is 2a2
Our coefficient/constant is the number our term begins which is 2
Our variable is the letter which is a
The exponent of our variable is the power that the variable is raised to which is 2
Determine the Degree of the Polynomial:
The degree of the polynomial (highest exponent) for the variable n = 9
The degree of the polynomial (highest exponent) for the variable m = 8
The degree of the polynomial (highest exponent) for the variable l = 7
The degree of the polynomial (highest exponent) for the variable z = 5
The degree of the polynomial (highest exponent) for the variable y = 4
The degree of the polynomial (highest exponent) for the variable c = 4
The degree of the polynomial (highest exponent) for the variable b = 3
The degree of the polynomial (highest exponent) for the variable x = 3
The degree of the polynomial (highest exponent) for the variable a = 2