Question

simplify 5√243 x^10 y^5 z^3

Answer 1

Given:

•      $\sqrt[5]{243 x^ {10} y^5 z^3}$

To Find:

• Simplify the equation

Solution:

We have,

  ⇒             $\sqrt[5]{243 x^ {10} y^5 z^3}$

In the equation there is mistake , $z^3$ should be $z^5$

Thus,

  ⇒               $\sqrt[5]{243 x^ {10} y^5 z^5}$

              ∵  $3 \times 3 \times 3 \times 3 \times 3 = 243$

                              $3^5 = 243$

 ⇒      $\sqrt[5]{3^5 \times x^{(2)}^{5} \times y^5 \times z^5}$

 ⇒      $( (3 \times x^2 \times y \times z )^5)^\frac{1}{5}$

 ⇒           $(3 \times x^2 \times y \times z )$

 ⇒          $3 x^2 y z$      

Thus, simplify form is $3 x^2 y z$