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Simplify. Express your answer using positive exponents.\newline8uu2\frac{8u}{u^2}

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Multiply and divide powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents.\newline8uu2\frac{8u}{u^2}
  1. Simplify with exponents: Simplify the expression by writing it with exponents. 8uuimesu=8uu2\frac{8u}{u imes u} = \frac{8u}{u^2}
  2. Apply quotient rule: Apply the quotient rule for exponents, which states am/an=a(m−n)a^m / a^n = a^{(m-n)}.\newline8u1/u2=8u(1−2)=8u−18u^1 / u^2 = 8u^{(1-2)} = 8u^{-1}
  3. Convert negative to positive: Convert the negative exponent to a positive exponent.\newline8u−1=8u8u^{-1} = \frac{8}{u}

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