Question

[3x^(2/3)] • [7x^(1/4)] photo of equation above

Answer 1

$\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \qquad \qquad \sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \left( 3x^{\frac{2}{3}} \right)\left( 7x^{\frac{1}{4}} \right)\implies 3\cdot 7x^{\frac{2}{3}}\cdot x^{\frac{1}{4}}\implies 21x^{\frac{2}{3}+\frac{1}{4}}\implies 21x^{\frac{(4)2+(3)1}{12}} \\\\\\ 21x^{\frac{11}{12}}\implies 21\sqrt[12]{x^{11}}$

Answer 2

Two simply the equation down to it simplest form is that you have to multiply 7 to 3 which is 21. For the exponents you add so it would be 11/12 which put it together you would have 3 11/12