Question

Rewrite the expression with rational exponents as a radical expression. 7 times x to the two thirds power

Answer 1

(7x)^{\frac{2}{3}}=\sqrt[3]{49x^{2} }

Explanation:

Answer 2

`(7x)^{(2)/(3)}`=
`\sqrt[3]{49x^(2) }`

Explanation:

We have been given the expression;

7 times x to the two thirds power which can be written mathematically as;

`(7x)^{(2)/(3)}`

To express the above expression as a radical, we need to recall that;

`a^{(b)/(n)}=\sqrt[n]{a^(b)}`

Therefore;

`(7x)^{(2)/(3)}=\sqrt[3]{(7x)^(2) }\\\\=\sqrt[3]{49x^(2) }`