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As Pablo rode a jeepney this morning, he met these people, Janella and Romil. The two friends are arguing about their assignment in Mathematics about Simplifying Algebraic Expressions,[tex] \frac{10n⁴}{ {2n}^{-5}}[/tex]
Here are their claims:

•Janella's Solution:
[tex] \frac{ {10n}^{4} }{ {2n}^{ - 5} } = {5n}^{4 - ( - 5)} = {5n}^{9} [/tex]
~Quotient of a Power is used in my solution.

•Romil's Solution:
[tex] \frac{ {10n}^{4} }{ {2n}^{ - 5} } = \frac{ {10n}^{4} }{ \frac{2}{ {n}^{5} } } = {10n}^{4} . \frac{ {n}^{5} }{2} = {5n}^{9} [/tex]
~I expressed the exponent of the denominator as the positive integer, then followed the rules in dividing polynomials.

1. If you were Pablo, would you help them determining who is telling the truth? Why?

2. Who do you think is right, Janella or Pablo? Why?

3. How would you help them solve the argument in a subtle way?

Please Help;-;
Nonsense=NonstopReport

If you don't know the answer please just don't answer it!

As Pablo Rode A Jeepney This Morning He Met These People Janella And Romil The Two Friends Are Arguing About Their Assignment In Mathematics About Simplifying A class=

Sagot :

[tex]\large{\boxed{\mathbb{\purple{ANSWER:}}}}[/tex]

•Yes, because I want to help them,and I want to know who is right and I also want them not to argue just because of mathematical problem.

•Both Janella and Romil is right since they undergo correct process and applied the laws of exponent correctly.

•By telling them that they used different strategies in getting the simplified form of the given expression. For as long you you applied the key concepts of reducing fractions, laws of exponents and simplification properties of rational expressions then you are in the right track in simplifying rational algebraic expressions.

[tex]\color{lime}{Hope it helps!ت︎}[/tex]

[tex]\color{olive}\rm{☘︎Aesthetic Squad☘︎}[/tex]