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Evaluate. Write your answer as a whole number or as a simplified fraction.\newline(109)/(107)=(10^{9})/(10^{7})=

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Full solution

Q. Evaluate. Write your answer as a whole number or as a simplified fraction.\newline(109)/(107)=(10^{9})/(10^{7})=
  1. Identify Base and Exponents: Identify the base and the exponents.\newlineIn the expression (109)/(107)(10^{9})/(10^{7}), 1010 is the base, 99 is the exponent in the numerator, and 77 is the exponent in the denominator.\newlineBase: 1010\newlineExponent in numerator: 99\newlineExponent in denominator: 77
  2. Apply Quotient Rule: Apply the quotient rule for exponents.\newlineThe quotient rule states that when dividing like bases with exponents, you subtract the exponent in the denominator from the exponent in the numerator.\newline(109)/(107)=109−7(10^{9})/(10^{7}) = 10^{9-7}
  3. Perform Subtraction of Exponents: Perform the subtraction of the exponents. 109−7=10210^{9-7} = 10^{2}
  4. Calculate Value: Calculate the value of 1010 raised to the power of 22. \newline102=10×10=10010^{2} = 10 \times 10 = 100

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