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 ).

Answer 1

To simplify the expression \( m^{-4} \cdot m^{9} \), you can use the properties of exponents. Specifically, when multiplying two expressions with the same base, you add their exponents:

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

Now, simplify the exponent:

\[ -4 + 9 = 5 \]

Thus,

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

So, the simplified form in exponential notation is:

\[ \boxed{m^{5}} \]