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.
(a^3b^5)^7
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