Q. Simplify. Express your answer using positive exponents.9z39z
Write Expression: Write down the expression to be simplified.The expression given is 9z39z. 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 99, they will divide out to 1. For the variables, we use the rule of exponents that states when dividing like bases, you subtract the exponents.
Perform Coefficient Division: Perform the division of the coefficients. 99=1
Subtract Exponents: Subtract the exponents of the variable z. z3z1=z1−3=z−2
Rewrite Negative Exponent: Since we need to express the answer using positive exponents, we rewrite z−2 as 1/z2.
Combine Results: Combine the results from Step 3 and Step 5.1×z21=z21
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