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Evaluate. Write your answer as a whole number or as a simplified fraction. (5^(5))/(5^(2))=

Evaluate. Write your answer as a whole number or as a simplified fraction.\newline5552= \frac{5^{5}}{5^{2}}=

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Csc, sec, and cot of special anglesright chevron icon

Full solution

Q. Evaluate. Write your answer as a whole number or as a simplified fraction.\newline5552= \frac{5^{5}}{5^{2}}=
  1. Apply Quotient Rule: Apply the quotient rule for exponents which states that am/an=am−na^{m}/a^{n} = a^{m-n} where aa is a non-zero number and mm and nn are integers.\newline(55)/(52)=55−2(5^{5})/(5^{2}) = 5^{5-2}
  2. Subtract Exponents: Subtract the exponents.\newline55−2=535^{5-2} = 5^3
  3. Calculate Value: Calculate the value of 535^3. \newline53=5×5×5=1255^3 = 5 \times 5 \times 5 = 125

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