Simplify 9m^5 / (3m^14) ^ 7m
Express your answer in positive exponential form.
To simplify the expression, we can apply the quotient rule for exponents.
First, we divide the numerical coefficients: 9m^5 / 3 = 3m^5.
Next, we subtract the exponents of the variable: m^14 - m = m^(14-1) = m^13.
Therefore, the simplified expression is 3m^5 / m^13.
To express this in positive exponential form, we can rewrite m^13 as 1 / m^(-13):
3m^5 / m^13 = 3m^(5 - 13) = 3m^(-8).
So the answer in positive exponential form is 3m^(-8).