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

Apply Exponent Rule: We have the expression b^(-6)*b^(11). According to the laws of exponents, when we multiply two expressions with the same base, we add the exponents. So, b^(-6)*b^(11) = b^(-6+11).Add Exponents: Perform the addition of the exponents. b^(-6+11) = b^(5).Verify Result: Check the result for any mathematical errors. The base b remains the same, and the exponents have been correctly added. There are no mathematical errors in the previous steps.

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Simplify.
Rewrite the expression in the form
b^(n).

b^(-6)*b^(11)=

Simplify. $\newline$ Rewrite the expression in the form $\newline$ $b^{n}$ . $\newline$ $b^{-6} \cdot b^{11}=$

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Math Problems

Grade 8

Evaluate expressions using properties of exponents

Full solution

Q. Simplify.

\newline

Rewrite the expression in the form

\newline

b^{n}

\newline

b^{-6} \cdot b^{11}=

Apply Exponent Rule: We have the expression $b^{-6}\times b^{11}$ . According to the laws of exponents, when we multiply two expressions with the same base, we add the exponents. $\newline$ So, $b^{-6}\times b^{11} = b^{-6+11}$ .
Add Exponents: Perform the addition of the exponents. $b^{(-6+11)} = b^{5}.$
Verify Result: Check the result for any mathematical errors. The base $b$ remains the same, and the exponents have been correctly added. $\newline$ There are no mathematical errors in the previous steps.