Simplify
4/5th root of 64a to the 3rd power
This does not simplify well.
(64a)^(12/5)
sorry cant help you
To simplify the expression (4/5th root of 64a)^3, we can first simplify the 5th root of 64a.
The 5th root of 64a can be written as (64a)^(1/5).
To simplify further, we can use the property of exponents, which states that (a^m)^n = a^(m*n).
So, we can rewrite (64a)^(1/5) as (64^(1/5)) * (a^(1/5)).
Now, let's simplify each component separately:
- (64^(1/5)) represents the 5th root of 64. With some trial and error, we can find that 2 raised to the power of 5 equals 32, which is the closest to 64. Therefore, the 5th root of 64 is 2.
- Similarly, (a^(1/5)) represents the 5th root of a. Since there are no like terms to simplify, we leave it as it is.
Combining these results, the simplified expression becomes:
(4/5) * (2 * (a^(1/5)))^3
We can simplify the expression further if needed, but without additional information for the value of 'a,' we cannot fully simplify it.