Question

What expressions from the table are equivalent to that expression ?

Answer 1

Answer:

Step-by-step explanation:

11). $p^{\frac{3}{5}}\times \sqrt[10]{p^4}$

    = $p^{\frac{3\times 2}{5\times 2}}\times \sqrt[10]{p^4}$

    = $p^{\frac{6}{10}}\times \sqrt[10]{p^4}$

    = $\sqrt[10]{p^{6}}\times\sqrt[10]{p^4}$

    = $\sqrt[10]{p^{10}}$

    = p

    Yes

12). $p^{\frac{3}{5}}\times \sqrt[10]{p^4}=\sqrt[5]{p^3} \times \sqrt[10]{p^4}$

     But, $\sqrt[5]{p^3} \times \sqrt[10]{p^4}\neq \sqrt[3]{p^5}\times \sqrt[10]{p^4}$

     No

13). Since, $p^{\frac{3}{5}}\times \sqrt[10]{p^4}=p$

   Simplify the given expression,

   $\sqrt[10]{p^{\frac{23}{5}}}$

    $\sqrt[10]{p^{\frac{23}{5}}} =p^{\frac{23}{50}}$

    No.

14). $p^{\frac{12}{50}}=p^{\frac{6}{25}}\neq p$

    No.

15). $p^{24}\neq p$

    No.