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Evaluate. Write your answer as a whole number or as a simplified fraction.

(5^(6))/(5^(4))=

Evaluate. Write your answer as a whole number or as a simplified fraction.\newline5654=\frac{5^{6}}{5^{4}}=

Full solution

Q. Evaluate. Write your answer as a whole number or as a simplified fraction.\newline5654=\frac{5^{6}}{5^{4}}=
  1. Apply Quotient Rule: Apply the quotient rule for exponents which states that am/an=amna^{m}/a^{n} = a^{m-n} where aa is a non-zero number and mm and nn are integers.\newline(56)/(54)=564(5^{6})/(5^{4}) = 5^{6-4}
  2. Subtract Exponents: Subtract the exponents.\newline564=525^{6-4} = 5^2
  3. Calculate Value: Calculate the value of 525^2.\newline52=255^2 = 25

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