Question

Question 4 of 6For any numbers a, b, and n, the expression (a.b)"is equal to ab.nlaA. TrueB. FalseSUBMIT

Answer 1

Given the expression

$(a\cdot b)^n^{}$

Apply exponent rule:

$\begin{gathered} \mleft(a\cdot b\mright)^n=\mleft(ab\mright)^n=a^nb^n \\ \therefore(a\cdot\: b)^n=a^n\cdot b^n \end{gathered}$

Hence, the answer is False since

$(a\cdot b)^n\ne a^b\cdot n^b$

Therefore, the correct option is B.