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Division of Monomials - Fraction with like bases











































Show the expanded form and simplification of x^4 divided by x^2 . Explain in your own words how you can simplify x^4 divided by x^2 without having to write the expanded form.

Part 2:

Create your own fraction with like bases, coefficients, and show its simplification

Comments for Division of Monomials - Fraction with like bases

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Jul 11, 2012
Division of Monomials
by: Staff


Answer:


Simplification using the expanded form:

x^4 divided by x^2

= x⁴/x²

= (x*x*x*x)/(x*x)

Two of the x’s in the numerator will cancel two of the x’s in the denominator

= (x*x)*(x/x)*(x/x)

= (x*x)*(1)*(1)

= x*x

= x²

>>> final answer = x²


Explain in your own words how you can simplify x^4 divided by x^2 without having to write the expanded form


When dividing monomials which have the same base, simply subtract the exponents.

x^a / x^b = x^(a-b)



Part 2:

Create your own fraction with like bases, coefficients, and show its simplification
15²²/15³

= 15⁽²²⁻³⁾

= 15¹⁹




Thanks for writing.

Staff
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