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Simplify. Express your answer using positive exponents.\newline10b75b⋅b6\frac{10b^7}{5b \cdot b^6}

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline10b75b⋅b6\frac{10b^7}{5b \cdot b^6}
  1. Rewrite expression: First, rewrite the expression to make it easier to simplify.\newline10b75b⋅b6\frac{10b^7}{5b \cdot b^6} can be rewritten as 10b75b7\frac{10b^7}{5b^7}.
  2. Simplify coefficients and powers: Next, simplify the coefficients and the powers of bb.105=2\frac{10}{5} = 2 and b7/b7=b7−7=b0=1b^7/b^7 = b^{7-7} = b^0 = 1.
  3. Multiply coefficients and powers: Multiply the simplified coefficients and powers of bb. 2×1=22 \times 1 = 2.

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