Answer:
The simplified expression is a^(21/20).
Explanation:
To simplify the expression, we can use the rule for multiplying two powers with the same base, which is to add the exponents.
a^(3/5) * a^(3/4) = a^(3/5 + 3/4) = a^(6/5 + 3/4)
We can then simplify the fractional exponent by finding a common denominator for the numerators, which is 20 in this case:
a^(6/5 + 3/4) = a^(6/20 + 15/20) = a^(21/20)
The simplified expression is a^(21/20).