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Simplify. Express your answer using positive exponents.\newline10q82q7\frac{10q^8}{2q^7}

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline10q82q7\frac{10q^8}{2q^7}
  1. Simplify Coefficients: Simplify the coefficients.\newlineDivide the coefficients 1010 by 22.\newline102=5\frac{10}{2} = 5
  2. Simplify Powers of q: Simplify the powers of qq.\newlineSubtract the exponents of qq since we are dividing.\newlineq8/q7=q(8−7)=q1q^8 / q^7 = q^{(8-7)} = q^1\newlineSince q1q^1 is simply qq, we can write it as qq.
  3. Combine Coefficients and Powers: Combine the simplified coefficients and powers of qq. Multiply the simplified coefficient by the simplified power of qq. 5×q=5q5 \times q = 5q

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