Determine whether the statement is true or false. If false, correct the right side of n^(4)/(9)cdot n^(5)/(9)=n^(20)/(81) Select the correct choice below and, if necessary,fill in the answer box to complet B A The statement is false The correct equation is n^(4)/(9)cdot n^(5)/(9)=(0,1) (Simplify your answer.Type exponential notation with positive exponents.) B. The statement is true.

To determine whether the statement is true or false, we need to simplify the expression on the left side of the equation.<br /><br />Given:<br />$n^{\frac {4}{9}}\cdot n^{\frac {5}{9}}$<br /><br />Using the property of exponents, we can add the exponents when multiplying terms with the same base:<br />$n^{\frac {4}{9}}\cdot n^{\frac {5}{9}} = n^{\frac {4}{9} + \frac {5}{9}}$<br /><br />Simplifying the exponent:<br />$n^{\frac {4}{9} + \frac {5}{9}} = n^{\frac {9}{9}} = n^1$<br /><br />Therefore, the correct equation is:<br />$n^{\frac {4}{9}}\cdot n^{\frac {5}{9}} = n^1$<br /><br />So, the statement is false. The correct equation is:<br />$n^{\frac {4}{9}}\cdot n^{\frac {5}{9}} = n^1$<br /><br />Therefore, the correct choice is A.