Simplify the expression as much as possible. Write your answer in (-7x^(2)/(5)y^(6)/(5))(-3x^(6)/(5)y^(3)/(5)) Show your work here Hint: To add an exponent (x^y) , type "exponent" or press "

To simplify the expression $$(-7x^{\frac {2}{5}}y^{\frac {6}{5}})(-3x^{\frac {6}{5}}y^{\frac {3}{5}})$$ , we can use the properties of exponents.

First, let's multiply the coefficients:
$$(-7) \cdot (-3) = 21$$

Next, let's multiply the exponents of $$x$$ :
$$x^{\frac {2}{5}} \cdot x^{\frac {6}{5}} = x^{\frac {2}{5} + \frac {6}{5}} = x^{\frac {8}{5}}$$

Finally, let's multiply the exponents of $$y$$ :
$$y^{\frac {6}{5}} \cdot y^{\frac {3}{5}} = y^{\frac {6}{5} + \frac {3}{5}} = y^{\frac {9}{5}}$$

Putting it all together, we have:
$$(-7x^{\frac {2}{5}}y^{\frac {6}{5}})(-3x^{\frac {6}{5}}y^{\frac {3}{5}}) = 21x^{\frac {8}{5}}y^{\frac {9}{5}}$$

Therefore, the simplified expression is $$21x^{\frac {8}{5}}y^{\frac {9}{5}}$$ .