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Evaluate. Write your answer as a whole number or as a simplified fraction. (10^(5))/(10^(3))=

Evaluate. Write your answer as a whole number or as a simplified fraction.\newline105103= \frac{10^{5}}{10^{3}}=

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Full solution

Q. Evaluate. Write your answer as a whole number or as a simplified fraction.\newline105103= \frac{10^{5}}{10^{3}}=
  1. 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.\newlineSo, (105)/(103)(10^{5})/(10^{3}) becomes 105−310^{5-3}.
  2. Subtract Exponents: Perform the subtraction of the exponents. 5−3=25 - 3 = 2 So, 10(5−3)10^{(5-3)} simplifies to 10210^2.
  3. Calculate Value: Calculate the value of 10210^2. \newline102=10×10=10010^2 = 10 \times 10 = 100\newlineSo, the simplest form of (105)/(103)(10^{5})/(10^{3}) is 100100.

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