Question

Which radical expression is equivalent to 5^3/2
A. sq rt 5
B. sq rt 125
C. ^3 sq rt 5
D. ^3 sq rt 25

Answer 1

keep in mind that \(\Large \bf a^{\frac{{\color{blue} n}}{{\color{red} m}}} = \sqrt[{\color{red} m}]{a^{\color{blue} n}} \)

so.... which one do you think?

Answer 2

um c or d?

Answer 3

well, let's see \(\Large{ \bf a^{\frac{{\color{blue} n}}{{\color{red} m}}} = \sqrt[{\color{red} m}]{a^{\color{blue} n}}
\\ \quad \\ \quad \\
5^{\frac{{\color{blue} 3}}{{\color{red} 2}}} = \sqrt[{\color{red} \square }]{5^{\color{blue} \square }} }\)

what do you think?

Answer 4

im thinking D.

Answer 5

?

Answer 6

\(\Large \bf {a^{\frac{{\color{blue} n}}{{\color{red} m}}} = \sqrt[{\color{red} m}]{a^{\color{blue} n}}
\\ \quad \\ \quad \\
5^{\frac{{\color{blue} 3}}{{\color{red} 2}}} = \sqrt[{\color{red} 3 }]{5^{\color{blue} 2 }} \implies \sqrt[{\color{red} 3 }]{125} }\)

Answer 7

awesome thanks so much

Answer 8

yw

Answer 9

hmmm actually one sec shoot, I just noticed amn error

Answer 10

\(5^2=25\) so \(\Large \bf {a^{\frac{{\color{blue} n}}{{\color{red} m}}} = \sqrt[{\color{red} m}]{a^{\color{blue} n}}
\\ \quad \\ \quad \\
5^{\frac{{\color{blue} 3}}{{\color{red} 2}}} = \sqrt[{\color{red} 3 }]{5^{\color{blue} 2 }} \implies \sqrt[{\color{red} 3 }]{25} }\)

Answer 11

so did i

Answer 12

hmmm hold on, lemme fix that quick, it has a few things off

Answer 13

yeah thats what i got :)

Answer 14

\(\Large \bf {a^{\frac{{\color{blue} n}}{{\color{red} m}}} = \sqrt[{\color{red} m}]{a^{\color{blue} n}}
\\ \quad \\ \quad \\
5^{\frac{{\color{blue} 3}}{{\color{red} 2}}} = \sqrt[{\color{red} 2 }]{5^{\color{blue} 3 }} \implies \sqrt[{\color{red} 2 }]{125} }\)

Answer 15

there anyway

Answer 16

ok

Answer 17

so a,b,c or d?

Answer 18

well... \(\Large \bf {a^{\frac{{\color{blue} n}}{{\color{red} m}}} = \sqrt[{\color{red} m}]{a^{\color{blue} n}}
\\ \quad \\ \quad \\
5^{\frac{{\color{blue} 3}}{{\color{red} 2}}} = \sqrt[{\color{red} 2 }]{5^{\color{blue} 3 }} \implies \sqrt[{\color{red} 2 }]{125} \implies \sqrt{125}}\)

Answer 19

ok