Question

4 underroot x^9y^7/ xy^3 find the radical with exponents?Plzz help me understand this one

Answer 1

\[4\sqrt{x^9y^7}/{xy^3}\]

Answer 2

plz help

Answer 3

I assume that is the 4th root (and not just multiplying by 4)
you can "pull out" sets of 4. for example
\( \sqrt[4]{x*x*x*x} \) becomes x (pull out all 4 x's)
x^9 means x times itself 9 times. you can break it up into groups of 4:
(x*x*x*x) * (x*x*x*x) *x (you can see why people decided to use exponents)
each "quadruple of x's" can be "pulled out" and changed to x
so
\[ \sqrt[4]{(x*x*x*x) * (x*x*x*x) *x} = x\cdot x\cdot \sqrt[4]{x} \]
\[ = x^2\sqrt[4]{x} \]

can you do the problem
\[ \sqrt[4]{x^9 y^7} \]
?
if you can you are ready for
\[ \frac{\sqrt[4]{x^9 y^7}}{xy^3} \]
The final step is divide by xy^3