Simplify 𝑚−4⋅𝑚9m^{-4}\cdot m^{9}m

Question

−4
⋅m
9
and write your answer in exponential form. (Example: 525^25
2
not 252525 ). Click Here for Help Video

Answer 1

To simplify the expression \( m^{-4} \cdot m^9 \), you can use the property of exponents that states \( a^m \cdot a^n = a^{m+n} \).

Applying this property to the given expression:

\[ m^{-4} \cdot m^9 = m^{-4 + 9} = m^{5} \]

So, the simplified expression in exponential form is:

\[ m^{5} \]