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Find the degree of the monomial −6x²y⁵.
a) 2
b) 5
c) 6
d) 7

1 Answer

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Final answer:

The degree of the monomial −6x²y⁵ is 7, found by adding the exponents of the variables, which are 2 for x and 5 for y. The correct answeris d) 7.

Step-by-step explanation:

To find the degree of the monomial −6x²y⁵, you need to sum the exponents of all the variables in the monomial. In this case, you have x raised to the second power and y raised to the fifth power.

By adding these exponents together (2 for x and 5 for y), you obtain 2 + 5 = 7. Therefore, the degree of the monomial is 7.

The degree of a monomial is determined by adding the exponents of all its variables. In the given monomial, -6x²y⁵, the degree is the sum of the exponents of x and y, which is 2 + 5 = 7. Therefore, the correct answer is (d) 7.

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