Apply the quotient rule for exponents if applicable and writ

Apply the quotient rule for exponents, if applicable, and write the result using only positive exponents. Assume all variables represent nonzero real numbers. StartFraction 9 to the 19 Over 9 to -9 (9 19 over 99) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 9 Superscript 19 Over 9 Superscript negative 9 99 = ____(Simplify your answer. Type in exponential notation. Type positive exponents.) B. The quotient rule does not apply.

Solution

9¹⁹ / 9 = (9¹⁹)(9^-1) = 9^{19 –} 1 = 9¹⁸

9¹⁹ / 9^-9 = ( 9¹⁹) ( 9⁹) = 9^{19 + 9} = 9²⁸