(a^3b^5)^7

To simplify (a^3b^5)^7, we need to raise every term inside the parentheses to the power of 7:

(a^3b^5)^7 = (a^3)^7 * (b^5)^7

To raise each term to the 7th power, we multiply the exponents:

(a^3)^7 = a^(3*7) = a^21

(b^5)^7 = b^(5*7) = b^35

Therefore, (a^3b^5)^7 simplifies to a^21 * b^35.