Question

what is 2 4/3 equal to?
the answer must be in square root form

Answer 1

hmmm sounds

what do they mean by "square root form"?
that could mean anything

Answer 2

like the answer is an exponent and then there's a radical and then it has a base in the radical

Answer 3

\[2^\frac{ 4 }{3 }\]?

Answer 4

yes

Answer 5

actually, got the colors backwards there =)

\(\Large {
a^{\frac{{\color{blue} n}}{{\color{red} m}}} \implies \sqrt[{\color{red} m}]{a^{\color{blue} n}} \qquad \qquad

\sqrt[{\color{red} m}]{a^{\color{blue} n}}\implies a^{\frac{{\color{blue} n}}{{\color{red} m}}}\qquad thus
\\ \quad \\
2^{\frac{{\color{blue}{ 4}}}{{\color{red}{ 3}}}}\implies ?
}\)

Answer 6

so ^4 sqrt 2^3 ?

Answer 7

and then what's after that

Answer 8

hmmm the numerator is the exponent
the denominator is the root

Answer 9

\(\large {
\sqrt[{\color{red} m}]{a^{\color{blue} n}}\implies a^{\frac{{\color{blue} n}}{{\color{red} m}}}\qquad thus
\\ \quad \\
2^{\frac{{\color{blue}{ 4}}}{{\color{red}{ 3}}}}\implies \sqrt[{\color{red}{ 3}}]{2^{{\color{blue}{ 4}}}}\implies \sqrt[3]{2\cdot 2\cdot 2\cdot 2\cdot 2}\implies \sqrt[3]{2^3\cdot 2^1}\implies 2\sqrt[3]{2}
}\)

Answer 10

hmm actuallly, I have an extra 2 there =)
\(\large {
\sqrt[{\color{red} m}]{a^{\color{blue} n}}\implies a^{\frac{{\color{blue} n}}{{\color{red} m}}}\qquad thus
\\ \quad \\
2^{\frac{{\color{blue}{ 4}}}{{\color{red}{ 3}}}}\implies \sqrt[{\color{red}{ 3}}]{2^{{\color{blue}{ 4}}}}\implies \sqrt[3]{2\cdot 2\cdot 2\cdot 2}\implies \sqrt[3]{2^3\cdot 2^1}\implies 2\sqrt[3]{2}
}\)

Answer 11

oh so it'd be 3 sqrt 16