Q. Simplify. Express your answer using positive exponents.5g5g8
Identify like terms: Write down the given expression and identify like terms.The given expression is 5g5g8. We can see that both the numerator and the denominator have the common term 5g.
Simplify coefficients: Simplify the coefficients (numerical parts) of the expression. Since both the numerator and the denominator have the coefficient 5, we can divide them out, as 5/5 equals 1.
Apply quotient rule: Apply the quotient rule for exponents to simplify the variable part of the expression.The quotient rule states that when dividing powers with the same base, you subtract the exponents. In this case, we have g8/g1, which simplifies to g(8−1) or g7.
Combine simplified terms: Combine the simplified coefficients and variables to write the final answer.After simplifying, we are left with 1×g7, which is simply g7.
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