Respuesta :

baabaagreysheep

Your answer would be [tex]\frac{1}{w^{35} }[/tex]

This is because (w^5)^-7 expands to give w^-35 because you multiply the exponents. When you have a negative exponent, this can also be written as a reciprocal, i.e. x^-2 = 1/x². This means that we can write w^-35 as 1/(w^35), which doesn't include any negative exponents.

I hope this helps! Let me know if you have any questions :)

The answer without using negative exponents  [tex](w^{5})^{-7}[/tex] is  [tex]\frac{1}{w^{35} }[/tex] .

What are the properties of exponents ?

The following properties of exponents are -

  • [tex](a^{m})^{n}[/tex]  =  [tex]a^{m*n}[/tex]
  • [tex]a^{-m}[/tex]  =  [tex]\frac{1}{a^{m} }[/tex]

How to solve expression using properties of exponents ?

Given expression is [tex](w^{5})^{-7}[/tex] .

Using the properties of exponents, we have -

= [tex]w^{-35}[/tex]

= [tex]\frac{1}{w^{35} }[/tex]  which does not have any negative exponents.

Thus, the answer without using negative exponents  [tex](w^{5})^{-7}[/tex] is  [tex]\frac{1}{w^{35} }[/tex] .

To learn more about properties of exponents, refer -

https://brainly.com/question/3187898

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