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Simplify. Express your answer using positive exponents.\newline8bb6\frac{8b}{b^6}

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline8bb6\frac{8b}{b^6}
  1. Write Given Expression: Write down the given expression.\newlineThe given expression is 8bb6\frac{8b}{b^6}.
  2. Simplify by Dividing: Simplify the expression by dividing the terms.\newlineWhen dividing powers with the same base, subtract the exponents.\newline8b/b6=8×b1/b6=8×b(1−6)=8×b−58b/b^6 = 8 \times b^1/b^6 = 8 \times b^{(1-6)} = 8 \times b^{-5}
  3. Express Answer Using Positive Exponents: Express the answer using positive exponents.\newlineTo express b−5b^{-5} with a positive exponent, write it as 1/b51/b^5.\newlineSo, 8×b−5=8/b58 \times b^{-5} = 8/b^5

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