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Simplify. Express your answer using positive exponents.\newline7z77z4\frac{7z^7}{7z^4}

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Multiply powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents.\newline7z77z4\frac{7z^7}{7z^4}
  1. Simplify Coefficients: Simplify the coefficients.\newlineDivide the coefficients 77 by 77.\newline77=1\frac{7}{7} = 1
  2. Apply Quotient Rule: Apply the quotient rule for exponents.\newlineWhen dividing powers with the same base, subtract the exponents.\newlinez7/z4=z(7−4)=z3z^7 / z^4 = z^{(7-4)} = z^3
  3. Combine Results: Combine the results from Step 11 and Step 22.\newlineSince 7/77/7 is 11, and z7/z4z^7 / z^4 is z3z^3, the expression simplifies to:\newline1×z3=z31 \times z^3 = z^3

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