Simplify the following algebraic expression and express your answer using positive exponents only. $u ^ { - 7 } u ^ { - 6 }$
A) $u ^ { 13 }$
B) $\frac { 1 } { u ^ { 13 } }$
C) $\frac { 1 } { u ^ { 42 } }$

Question

Quizplus · Accepted Answer

To simplify the expression, we can use the rule of adding exponents when multiplying variables with the same base. So,  
$$u^{-7}u^{-6}=u^{-7-6}=u^{-13}$$
To express the answer using positive exponents only, we can rewrite the expression as 
$$\frac{1}{u^{13}}$$
Therefore, the correct answer is B, which expresses the simplified expression with positive exponents only.

Simplify the Following Algebraic Expression and Express Your Answer Using u−7u−6u ^ { - 7 } u ^ { - 6 }u−7u−6

Simplify the Following Algebraic Expression and Express Your Answer Using $u ^ { - 7 } u ^ { - 6 }$