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Evaluate. Write your answer as a whole number or as a simplified fraction. (4^(8))/(4^(4))=

Evaluate. Write your answer as a whole number or as a simplified fraction.\newline4844= \frac{4^{8}}{4^{4}}=

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Full solution

Q. Evaluate. Write your answer as a whole number or as a simplified fraction.\newline4844= \frac{4^{8}}{4^{4}}=
  1. Apply Quotient Rule: Apply the quotient rule for exponents.\newlineThe quotient rule states that when dividing like bases, you subtract the exponents. So, (48)/(44)(4^8)/(4^4) becomes 4(8−4)4^{(8-4)}.
  2. Subtract Exponents: Subtract the exponents. 8−4=48 - 4 = 4 So, the expression becomes 444^4.
  3. Simplify 444^4: Simplify 444^4. \newline44=4×4×4×4=2564^4 = 4 \times 4 \times 4 \times 4 = 256
  4. Check Final Answer: Check the final answer.\newlineThe final simplified form of the expression is 256256, which is a whole number.

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