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Simplify. Express your answer using positive exponents.

(6b^(-3))/(3b^(0))
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Division rule for exponents
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Simplify. Express your answer using positive exponents.\newline6b33b0 \frac{6 b^{-3}}{3 b^{0}} \newlineSubmit\newlineWork it out\newlineNot feeling ready yet? These can\newlineDivision rule for exponents\newlineLesson:\newlineCompany Blog Help center User guides Tell us what you think Testimonials

Full solution

Q. Simplify. Express your answer using positive exponents.\newline6b33b0 \frac{6 b^{-3}}{3 b^{0}} \newlineSubmit\newlineWork it out\newlineNot feeling ready yet? These can\newlineDivision rule for exponents\newlineLesson:\newlineCompany Blog Help center User guides Tell us what you think Testimonials
  1. Simplify expression: First, let's simplify the expression (6b33b0)(\frac{6b^{-3}}{3b^{0}}).
  2. Use exponent rule: Since anything raised to the power of 00 is 11, b0=1b^{0} = 1.
  3. Simplify further: Now we have (6b33)(\frac{6b^{-3}}{3}).
  4. Reduce fraction: We can simplify 63\frac{6}{3} to 22.
  5. Final expression: So the expression becomes 2b32b^{-3}.
  6. Convert to positive exponent: To express b3b^{-3} with a positive exponent, we take the reciprocal of bb cubed.
  7. Convert to positive exponent: To express b3b^{-3} with a positive exponent, we take the reciprocal of bb cubed.The final simplified expression is 2b3\frac{2}{b^3}.

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