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Mathematics 20 Online
OpenStudy (macabbey101):

I need help!! PLEASE WILL FAN AND MEDAL! If someone could please just telle me the steps on how to solve these problems!!! attaching pic

OpenStudy (macabbey101):

OpenStudy (macabbey101):

the answer is C but I need the steps on how to get that answer

OpenStudy (mathmale):

Ask yourself: where did those '2's come from? Do they belong in the answers? Please note the following rule pertaining to radicals and exponents: \[x ^{\frac{ b }{ c }}=\sqrt[c]{b}\]

OpenStudy (macabbey101):

What do you mean the 2's?

OpenStudy (macabbey101):

@mathmale

OpenStudy (mathmale):

Three of your four answer choices have '2' in them. Think about this. Correct or not, under the circumstances?

OpenStudy (macabbey101):

Ok yes I get it now i just didnt know where the 2's were coming from, but now I do. so how could I say that I got to the answer? @mathmale like the steps it took to get there

OpenStudy (mathmate):

@macabbey101 @mathmale has already explained how the remaining option is correct by referring to the law of exponents. If you need more explanations, here are some examples to help you: https://www.mathsisfun.com/algebra/exponent-fractional.html

OpenStudy (coolcat123):

1/3 =12

OpenStudy (mathmale):

Rule:\[x ^{\frac{ b }{ c }}=\sqrt[c]{x^b}\]

OpenStudy (mathmale):

Or, in the other direction:\[\sqrt[c]{x^b}=x ^{\frac{ b }{ c }}\]

OpenStudy (mathmale):

Apply this to \[\sqrt[s]{a^s}\]

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