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Express In simplified exponential notation.
18a^3b^2/ 2ab


Sagot :

Answer:

18a^3b^2/2ab

To simplify the given expression, we apply property of exponents

18/2 = 9

x^m / x^n= x^ (m-n) In division we subtract the exponents

So given expression becomes

9a^2b

The answer has only positive exponents

i think this is what you want?

The simplified exponential notation of the given expression is [tex]9a^2b[/tex].

The given expression is: [tex]\frac{18a^3b^2}{2ab}[/tex]

What is an exponential expression?

An expression in the form of [tex]a^pb^qc^r[/tex].. is called exponential expression.

We can write the above expression as:

[tex](\frac{18}{2} )(\frac{a^{3} }{a} )(\frac{b^{2} }{b} )[/tex]

We know that [tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

[tex]\frac{a^{3} }{a} =a^{3-1} =a^{2} \\\frac{b^{2} }{b}=b^{2-1} =b[/tex]

So, [tex](\frac{18}{2} )(\frac{a^{3} }{a} )(\frac{b^{2} }{b} )[/tex] =[tex]9a^2b[/tex]

Hence, the simplified exponential notation of the given expression is [tex]9a^2b[/tex].

To get more about polynomials visit:

https://brainly.com/question/2833285

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