Simplify. Assume that no denominator is 0 and that 00 is not considered.?
(-4p^5/3m^2n^3)^3
To simplify the expression (-4p^5/3m^2n^3)^3, we need to raise each term inside the parentheses to the power of 3.
Let's break down the process step by step:
Step 1: Raise the numerator to the power of 3.
(-4p^5/3)^3 = -4^3 * p^5^3 / 3^3
Simplifying further:
-4^3 = -64
p^5^3 = p^(5*3) = p^15
3^3 = 27
So far, our expression is:
-64p^15 / 27m^2n^3
Step 2: Raise the denominator to the power of 3.
Since we only have m^2 and n^3 in the denominator, we can raise each term to the power of 3.
m^2^3 = m^(2*3) = m^6
n^3^3 = n^(3*3) = n^9
Our expression now becomes:
-64p^15 / 27m^6n^9
Therefore, the simplified expression is -64p^15 / 27m^6n^9.