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Write in exponential notation:

(2^(4))/(2^(7))

Write in exponential notation:\newline2427 \frac{2^{4}}{2^{7}}

Full solution

Q. Write in exponential notation:\newline2427 \frac{2^{4}}{2^{7}}
  1. Apply Quotient Rule: Apply the quotient rule for exponents, which states that when dividing like bases with exponents, you subtract the exponents: am/an=a(mn)a^m / a^n = a^{(m-n)}.\newlineCalculate 24/272^{4} / 2^{7} by subtracting the exponents.\newline2(47)=232^{(4-7)} = 2^{-3}
  2. Calculate Exponents: Write the final answer in exponential notation.\newlineThe result is 232^{-3}.

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