452280 452280
  • 01-02-2022
  • Mathematics
contestada

Simplify. Write the expression using only positive exponents. 3^−2⋅k^0⋅w^0/w^−6

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devishri1977
devishri1977 devishri1977
  • 01-02-2022

Answer:

Step-by-step explanation:

Any variable raised to 0 is 1

⇒ [tex]a^{0}=1[/tex]

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

[tex]\dfrac{3^{-2}*k^{0}*w^{0}}{w^{-6}}=\dfrac{3^{-2}}{w^{-6}}\\\\\\=\dfrac{1}{3^{2}}*w^{6}\\\\\\=\dfrac{w^{6}}{3^{2}}[/tex]

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