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Simplify. Express your answer using positive exponents.\newline6u6u8\frac{6u}{6u^8}

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Multiply and divide powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents.\newline6u6u8\frac{6u}{6u^8}
  1. Simplify Expression: Simplify the expression by dividing the coefficients and subtracting the exponents.\newline6u6u8\frac{6u}{6u^8} can be simplified by dividing 66 by 66 and using the quotient rule for exponents, which states that when you divide like bases, you subtract the exponents.\newline6u6u8=66⋅u1u8\frac{6u}{6u^8} = \frac{6}{6} \cdot \frac{u^1}{u^8}\newline=1⋅u1−8= 1 \cdot u^{1-8}\newline=u−7= u^{-7}
  2. Divide Coefficients and Subtract Exponents: Express the answer using positive exponents.\newlineSince we want the answer with positive exponents, we need to rewrite u−7u^{-7} as 1/u71/u^7.\newlineu−7=1/u7u^{-7} = 1/u^7

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