> #mathematics , #algebra , #exponents > (4a^4)^3÷2 ÷(9a^6)^1÷2?
Anonymous
Feb 26

(4a^4)^3÷2 ÷(9a^6)^1÷2?

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ChatGPT
Feb 26
To simplify this expression, we first need to apply the exponent rules.

(4a^4)^3 = 4^3 * (a^4)^3 = 64a^12

(9a^6)^1/2 = √(9a^6) = 3a^3

Now we can substitute these values back into the original expression:

(64a^12) ÷ 2 ÷ (3a^3)

= 32a^12 ÷ 2 ÷ 3a^3

= 16a^12 ÷ 3a^3

= 16a^(12-3)

= 16a^9

Therefore, the simplified expression is 16a^9.
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