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Simplify. Express your answer using positive exponents.\newline5g85g\frac{5g^8}{5g}

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Q. Simplify. Express your answer using positive exponents.\newline5g85g\frac{5g^8}{5g}
  1. Identify like terms: Write down the given expression and identify like terms.\newlineThe given expression is 5g85g\frac{5g^8}{5g}. We can see that both the numerator and the denominator have the common term 5g5g.
  2. Simplify coefficients: Simplify the coefficients (numerical parts) of the expression. Since both the numerator and the denominator have the coefficient 55, we can divide them out, as 5/55/5 equals 11.
  3. Apply quotient rule: Apply the quotient rule for exponents to simplify the variable part of the expression.\newlineThe quotient rule states that when dividing powers with the same base, you subtract the exponents. In this case, we have g8/g1g^8/g^1, which simplifies to g(81)g^{(8-1)} or g7g^7.
  4. Combine simplified terms: Combine the simplified coefficients and variables to write the final answer.\newlineAfter simplifying, we are left with 1×g71 \times g^7, which is simply g7g^7.

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