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Simplify. Express your answer using positive exponents.\newlineh−2h−8\frac{h^{-2}}{h^{-8}}

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Full solution

Q. Simplify. Express your answer using positive exponents.\newlineh−2h−8\frac{h^{-2}}{h^{-8}}
  1. Identify Operation for Exponents: Identify the operation needed for the exponents −2-2 and −8-8. When dividing powers with the same base, we subtract the exponents.
  2. Simplify Expression by Subtracting Exponents: Simplify the expression (h−2)/(h−8)(h^{-2})/(h^{-8}) by subtracting the exponents.\newline(h^{\(-2\)})/(h^{\(-8\)}) = h^{\(-2\) - (\(-8\))} = h^{\(-2\) + \(8\)} = h^\(6

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