Evaluate the following monomial:

(2a^{2}b^{3}c^{4} - 6x^{3}y^{4}z^{5})^{5}

##### Evaluate inside parentheses

Take each piece of 2a^{2}b^{3}c^{4} - 6x^{3}y^{4}z^{5}, and raise it to 5

##### Piece 1

2^{5} = 2 x 2 x 2 x 2 x 2 = 32

##### Piece 2

(a^{2})^{5} = a^{(2 x 5)} = a^{10}

##### Piece 3

(b^{3})^{5} = b^{(3 x 5)} = b^{15}

##### Piece 4

(c^{4-6})^{5} = c^{(4-6 x 5)} = c^{20}

##### Piece 5

(x^{3})^{5} = x^{(3 x 5)} = x^{15}

##### Piece 6

(y^{4})^{5} = y^{(4 x 5)} = y^{20}

##### Piece 7

(z^{5})^{5} = z^{(5 x 5)} = z^{25}

##### Piece together our answer:

(2a^{2}b^{3}c^{4} - 6x^{3}y^{4}z^{5})^{5} = **32a**^{10}b^{15}c^{20}x^{15}y^{20}z^{25}

##### Final Answer:

(2a^2b^3c^4-6x^3y^4z^5)^5=32a^10b^15c^20x^15y^20z^25

##### What is the Answer?

(2a^2b^3c^4-6x^3y^4z^5)^5=32a^10b^15c^20x^15y^20z^25

##### How does the Monomials Calculator work?

Free Monomials Calculator - This calculator will raise a monomial to a power,multiply monomials, or divide monomials.

This calculator has 3 inputs.

### What 6 formulas are used for the Monomials Calculator?

mx

^{a} + nx

^{a} = (m + n)x

^{a}mx

^{a} - nx

^{a} = (m - n)x

^{a}(x

^{m})

^{n} = x

^{m * n}x

^{m} * x

^{n} = x

^{m + n}x

^{m}/x

^{n} = x

^{m - n}For more math formulas, check out our

Formula Dossier
### What 5 concepts are covered in the Monomials Calculator?

- constant
- a value that always assumes the same value independent of how its parameters are varied
- exponent
- The power to raise a number
- monomial
- a polynomial which has only one term. Constants and variables are monomials as well as one term polynomials
- power
- how many times to use the number in a multiplication
- variable
- Alphabetic character representing a number

##### Example calculations for the Monomials Calculator

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