rewrite with rational exponents

(9�ã5x^4y)^3

would this be (15x^64y^3)1/9

help

To rewrite the expression (9^(5x^4y))^3 with rational exponents, you can follow these steps:

1. Begin by applying the power rule of exponents. When you raise a power to another power, you multiply the exponents together. So, we'll have (9^(5x^4y))^3 = 9^((5x^4y) * 3).

2. Next, simplify the exponent inside the parentheses by multiplying: 5x^4y * 3 = 15x^4y.

3. Now, rewrite the expression with the simplified exponent: 9^(15x^4y).

Thus, the final expression, written with rational exponents, is 9^(15x^4y).