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Simplify. Rewrite the expression in the form b^(n). b^(-6)*b^(11)=

Simplify.\newlineRewrite the expression in the form \newlinebnb^{n}.\newlineb−6⋅b11=b^{-6} \cdot b^{11}=

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Evaluate expressions using properties of exponentsright chevron icon

Full solution

Q. Simplify.\newlineRewrite the expression in the form \newlinebnb^{n}.\newlineb−6⋅b11=b^{-6} \cdot b^{11}=
  1. Apply Exponent Rule: We have the expression b−6×b11b^{-6}\times b^{11}. According to the laws of exponents, when we multiply two expressions with the same base, we add the exponents.\newlineSo, b−6×b11=b−6+11b^{-6}\times b^{11} = b^{-6+11}.
  2. Add Exponents: Perform the addition of the exponents. b(−6+11)=b5.b^{(-6+11)} = b^{5}.
  3. Verify Result: Check the result for any mathematical errors. The base bb remains the same, and the exponents have been correctly added.\newlineThere are no mathematical errors in the previous steps.

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