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Evaluate. Write your answer as a whole number or as a simplified fraction.\newline4846=□\frac{4^{8}}{4^{6}}=\square

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Full solution

Q. Evaluate. Write your answer as a whole number or as a simplified fraction.\newline4846=□\frac{4^{8}}{4^{6}}=\square
  1. Identify Operation: Identify the operation to perform with the exponents.\newlineWhen we divide powers with the same base, we subtract the exponents.\newlineam/an=a(m−n)a^m / a^n = a^{(m - n)}
  2. Apply Exponent Rule: Apply the exponent rule to the given expression.\newline(48)/(46)(4^{8})/(4^{6}) can be rewritten by subtracting the exponents.\newline(48)/(46)=4(8−6)=42(4^{8})/(4^{6}) = 4^{(8 - 6)} = 4^2
  3. Simplify Expression: Simplify 424^2. \newline42=4×4=164^2 = 4 \times 4 = 16

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