5. 3m(m/8)^4

Answer 1

To simplify the expression 3m(m/8)^4, we can start by expanding the exponent.

Since the exponent is 4, we multiply the term (m/8) by itself four times:

(m/8)^4 = (m/8) * (m/8) * (m/8) * (m/8)

Now, we can multiply the terms together:

(m/8) * (m/8) = (m * m) / (8 * 8) = m^2 / 64

(m/8) * (m/8) * (m/8) = m^2 / 64 * m / 8 = m^3 / 512

(m/8) * (m/8) * (m/8) * (m/8) = m^3 / 512 * m / 8 = m^4 / 4098

Now, we can substitute this result back into the original expression:

3m(m/8)^4 = 3m(m^4 / 4098)

Next, we can simplify further by multiplying the terms together:

3m(m^4 / 4098) = 3m^5 / 4098