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Simplify. Express your answer using positive exponents.\newline7m5m5\frac{7m^5}{m^5}

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline7m5m5\frac{7m^5}{m^5}
  1. Write Expression: Write down the expression to be simplified.\newline7m5m5\frac{7m^5}{m^5}
  2. Apply Quotient Rule: Apply the quotient rule for exponents which states that when dividing like bases, you subtract the exponents. \newline7m5m5=7×m(5−5)\frac{7m^5}{m^5} = 7 \times m^{(5-5)}
  3. Calculate Exponent Subtraction: Calculate the exponent subtraction. m(5−5)=m0m^{(5-5)} = m^0
  4. Exponent of 00: Any non-zero number raised to the power of 00 is 11.\newlinem0=1m^0 = 1
  5. Multiply Coefficient: Multiply the coefficient by the result of m0m^0. 7×1=77 \times 1 = 7

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