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Simplify. Express your answer as a single term using exponents.\newline50525056\frac{505^2}{505^6}

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Full solution

Q. Simplify. Express your answer as a single term using exponents.\newline50525056\frac{505^2}{505^6}
  1. Simplify Exponent Expression: Simplify the expression 5052/5056505^2/505^6 using exponent rules.\newlineFirst, use the rule am/an=am−na^m / a^n = a^{m-n} to simplify.\newline5052/5056=5052−6=505−4505^2 / 505^6 = 505^{2-6} = 505^{-4}
  2. Convert to Fraction Form: Convert 505−4505^{-4} to a fraction form since negative exponents indicate reciprocal.\newline505−4=1/5054505^{-4} = 1 / 505^4
  3. Calculate 5054505^4: Calculate 5054505^4 to understand the magnitude of the denominator.\newline5054=505×505×505×505=645025×505×505=325512625×505=164383962625505^4 = 505 \times 505 \times 505 \times 505 = 645025 \times 505 \times 505 = 325512625 \times 505 = 164383962625

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