Respuesta :

When you multiply two powers of the same base, you sum the exponents:

[tex] a^b\cdot a^c = a^{b+c} [/tex]

So, in this case,

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

Now, negative exponents works like positive exponents, except you have to invert the number: i.e.

[tex] a^{-b} = \dfrac{1}{a^b} [/tex]

So, you have

[tex] 4^{-5} = \dfrac{1}{4^5} [/tex]

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