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Write in exponential notation:

(m^(7))/(m^(8))

Write in exponential notation:\newlinem7m8 \frac{m^{7}}{m^{8}}

Full solution

Q. Write in exponential notation:\newlinem7m8 \frac{m^{7}}{m^{8}}
  1. Identify rule for dividing powers: Identify the rule for dividing powers with the same base.\newlineWhen dividing powers with the same base, subtract the exponents: am/an=a(mn)a^m / a^n = a^{(m-n)}.
  2. Apply rule to given expression: Apply the rule to the given expression m7m8\frac{m^{7}}{m^{8}}.\newlineSubtract the exponents: 78=17 - 8 = -1.
  3. Write result in exponential notation: Write the result in exponential notation.\newlineThe result is m1m^{-1}.

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