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Simplify. Express your answer using positive exponents.
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Q. Simplify. Express your answer using positive exponents.
- Write Expression: Write down the given expression.The given expression is . We need to simplify this expression by dividing the terms.
- Divide Coefficients and Variables: Divide the coefficients and the variables separately.Since the coefficients are the same , they will divide out to . For the variables, we use the property of exponents that states when dividing like bases, you subtract the exponents.\frac{\(7\)m^\(8\)}{\(7\)m} = \left(\frac{\(7\)}{\(7\)}\right) \times \left(\frac{m^\(8\)}{m^\(1\)}\right)
- Simplify Coefficients and Exponents: Simplify the coefficients and apply the exponent rule.\(\newline simplifies to , and for the variables, we subtract the exponents: .So,
- Final Simplified Expression: Write the final simplified expression.The final simplified expression is .
