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Simplify. Express your answer using positive exponents. \newline5z55z\frac{5z^5}{5z}

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Q. Simplify. Express your answer using positive exponents. \newline5z55z\frac{5z^5}{5z}
  1. Write Expression and Group: Write down the expression and group the coefficients and the powers of zz. The expression is 5z55z\frac{5z^5}{5z}. We can group the coefficients (55\frac{5}{5}) and the powers of zz (z5z\frac{z^5}{z}).
  2. Simplify Coefficients: Simplify the coefficients. 55\frac{5}{5} equals 11 since any number divided by itself is 11.
  3. Simplify Powers of z: Simplify the powers of zz using the quotient of powers rule.\newlineAccording to the quotient of powers rule, z5/zz^5/z equals z51z^{5-1} which simplifies to z4z^4.
  4. Combine Coefficients and Powers: Combine the simplified coefficients and powers of zz. Since the coefficient simplifies to 11, we are left with just z4z^4.
  5. Write Final Expression: Write the final simplified expression.\newlineThe expression 5z55z\frac{5z^5}{5z} simplifies to z4z^4.

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