Q. Simplify. Express your answer using positive exponents.2t92t
Write Expression: Write down the given expression.We have the expression 2t92t, which is a fraction where the numerator is 2t and the denominator is 2t9.
Simplify Coefficients: Simplify the coefficients.The coefficients 2 in the numerator and denominator cancel each other out because they are the same.2t92t=t9t
Apply Quotient Rule: Apply the quotient rule for exponents. The quotient rule states that when dividing like bases, you subtract the exponents. t9t=t1−9=t−8
Express Answer: Express the answer using positive exponents.Since the question prompt asks for positive exponents, we need to rewrite t−8 as 1/t8.t−8=1/t8
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