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Simplify. Express your answer using positive exponents.\newline9b99b\frac{9b^9}{9b}

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline9b99b\frac{9b^9}{9b}
  1. Divide and Simplify: Simplify the expression 9b9/9b9b^9/9b.\newlineFirst, divide the coefficients and simplify the powers of bb.\newline9b99b=99×b9b1\frac{9b^9}{9b} = \frac{9}{9} \times \frac{b^9}{b^1}
  2. Simplify Coefficients and Powers: Simplify the coefficients and the powers of bb.99=1\frac{9}{9} = 1, and using the rule bm/bn=b(m−n)b^m / b^n = b^{(m-n)}, we get b9b=b(9−1)=b8\frac{b^9}{b} = b^{(9-1)} = b^8.
  3. Combine Simplified Parts: Combine the simplified parts to get the final answer. 1×b8=b81 \times b^8 = b^8.

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