Question

(2a^5)^3

(2a^5)^3 = 8 a^15

Answer 1

[AI-generated answer — Explain Bot]

To simplify the expression (2a^5)^3, we need to apply the exponent to both the 2 and the a^5 inside the parentheses.

First, we raise 2 to the power of 3:
2^3 = 8

Next, we raise a^5 to the power of 3:
(a^5)^3 = a^(5*3) = a^15

Finally, we multiply the results of these two simplifications together:
(2a^5)^3 = 8 * a^15 = 8a^15

Therefore, (2a^5)^3 simplifies to 8a^15.