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Simplify. Express your answer using positive exponents.\newline8bb2\frac{8b}{b^2}

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Q. Simplify. Express your answer using positive exponents.\newline8bb2\frac{8b}{b^2}
  1. Write Expression: Write down the expression to be simplified.\newlineThe expression given is 8b/b28b/b^2. We need to simplify this expression by dividing the terms.
  2. Divide Coefficients and Variables: Divide the coefficients and the variables separately.\newlineSince the bases are the same bb, we can subtract the exponents according to the division rule of exponents aman=a(m−n)\frac{a^m}{a^n} = a^{(m-n)}.\newline8bb2=8×b11×b2=8b(2−1)=8b1\frac{8b}{b^2} = \frac{8 \times b^1}{1 \times b^2} = \frac{8}{b^{(2-1)}} = \frac{8}{b^1}
  3. Simplify Expression: Simplify the expression. \newline8b1\frac{8}{b^1} is the same as 8b\frac{8}{b}, since any number to the power of 11 is the number itself. \newlineTherefore, the simplified expression is 8b\frac{8}{b}.

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