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Simplify. Rewrite the expression in the form 4^(n). (4^(11))/(4^(-8))= ◻

Simplify.\newlineRewrite the expression in the form 4n 4^{n} .\newline4114−8= \frac{4^{11}}{4^{-8}}= \newline□ \square

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Full solution

Q. Simplify.\newlineRewrite the expression in the form 4n 4^{n} .\newline4114−8= \frac{4^{11}}{4^{-8}}= \newline□ \square
  1. Apply Quotient Rule: Use the quotient rule for exponents: am/an=am−na^{m}/a^{n} = a^{m-n}. (411)/(4−8)=411−(−8)(4^{11})/(4^{-8}) = 4^{11 - (-8)}.
  2. Calculate Exponent: Calculate the exponent: 11−(−8)=11+811 - (-8) = 11 + 8.\newline411+8=4194^{11 + 8} = 4^{19}.
  3. Final Answer: Write the final answer in the form 4n4^{n}. 4194^{19}.

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