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Simplify. Express your answer using positive exponents.\newline10u9u\frac{10u^9}{u}

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Multiply powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents.\newline10u9u\frac{10u^9}{u}
  1. Rewrite as single fraction: Simplify the expression 10u9/u10u^9/u. First, rewrite the expression as a single fraction: 10u9/u=10u9×u−110u^9/u = 10u^9 \times u^{-1}.
  2. Combine exponents: Apply the laws of exponents to simplify the expression.\newlineCombine the exponents of uu by adding them: u9×u−1=u9−1=u8u^9 \times u^{-1} = u^{9-1} = u^8.
  3. Multiply by coefficient: Multiply the simplified power of uu by the coefficient.10×u8=10u810 \times u^8 = 10u^8.

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