Respuesta :

Answer:

(-20a+2b-7, 5a+5b^3)

Step-by-step explanation:

Use vector arithmatic to simplify

Answer:

[tex]\frac{-4a^3}{b^{10} }[/tex]

Step-by-step explanation:

Step 1: Write out the expression separately. Like so:

-20 [tex]a^{-2}[/tex] [tex]b^{-7}[/tex]                              5 [tex]a^{-5}[/tex]  [tex]b^{3}[/tex]

Step 2: Since the it's a fraction were dividing. The bases of the exponents are the same, so you can divide the numbers and subtract the exponents.

-20  ÷  5 = -4    

[tex]a^{-2}[/tex]  -  [tex]a^{-5}[/tex] = [tex]a^{3}[/tex]

[tex]b^{-7}[/tex] -  [tex]b^{3}[/tex]    = [tex]b^{-10}[/tex]

Step 3: Notice that there is a negative exponent. To get rid of the negative, you have to make it positive and move it from being the numerator to being the denominator.

[tex]b^{-10}[/tex] →→→ [tex]b^{10}[/tex]

Step 4: Rewrite the expression with the -4, [tex]a^{3}[/tex] , and [tex]b^{10}[/tex].

[tex]\frac{-4a^{3} }{b^{10} }[/tex]  

hope this helps  :)

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