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Question
use multiplication to expand the expression below. then compute. express your answer as a fraction in simplest form. (1/6)^2 answer attempt 1 out of 2 type the / symbol on your keyboard to create fractions. press the × button or type the * symbol on your keyboard to represent multiplication. expanded form: answer:
Step1: Recall exponent - multiplication rule
The rule for \(a^n=a\times a\times\cdots\times a\) (\(n\) times). For \((\frac{1}{6})^2\), it means \(\frac{1}{6}\times\frac{1}{6}\).
Step2: Multiply the fractions
When multiplying fractions, we multiply the numerators together and the denominators together. So \(\frac{1}{6}\times\frac{1}{6}=\frac{1\times1}{6\times6}=\frac{1}{36}\).
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Expanded Form: \(\frac{1}{6}*\frac{1}{6}\)