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Simplify. Express your answer using positive exponents.\newline10c10c9\frac{10c}{10c^9}

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Multiply and divide powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents.\newline10c10c9\frac{10c}{10c^9}
  1. Simplify Expression: Simplify the expression by dividing the coefficients and subtracting the exponents.\newline10c10c9=(1010)⋅(c1c9)\frac{10c}{10c^9} = \left(\frac{10}{10}\right) \cdot \left(\frac{c^1}{c^9}\right)\newline=1⋅c(1−9)= 1 \cdot c^{(1-9)}\newline=c−8= c^{-8}
  2. Convert Negative Exponent: Convert the negative exponent to a positive exponent by writing it as a fraction. c−8=1c8c^{-8} = \frac{1}{c^8}

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