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What are the laws of exponent when multiplying monomials?

Anonymous

∙ 11y ago

Updated: 4/28/2022

When multiplying monomials, the exponent rules depends on its placement. For example, (3x)^2 would be 9(x^2). However, 3x^2 is simply 3(x^2). (xy)^2 means you have to use the F.O.I.L. method, meaning x*x + x*y + y*y, or x^2 + xy + y^2.

Wiki User

∙ 11y ago

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Can monomials have negative exponents?

Yes, monomials can have negative exponents. When a monomial has a negative exponent, it means that the variable or variables in the monomial are in the denominator of the fraction. For example, x^(-2) is equivalent to 1/x^2. Negative exponents indicate that the variable should be moved to the opposite side of the fraction line and the exponent becomes positive.

What do you do when multiplying a positive exponent by a negative exponent?

Example: (4x)-2 The answer to this would be 1/ 16x2. Multiply it out as if the negative exponent was not there ((4x)2), then that will be the denominator of the fraction. The numerator is one.

What is the exponent in 4x4x4?

You are multiplying 4 three times so 4^3

What is the sum of two monomials?

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Who invented monomials?

A monomial is a product of positive integer powers of a fixed set of variables. Monomials were invented by Austrian mathematician Bruno Buchberger.

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