Question

simplify.
$u^{-2} \cdot u^{5} \cdot u^{3}$
write your answer with a positive exponent only.

Explanation:

Step1: Apply exponent product rule

When multiplying terms with the same base, add exponents: $u^a \cdot u^b = u^{a+b}$.
$u^{-2} \cdot u^5 \cdot u^3 = u^{-2+5+3}$

Step2: Calculate the exponent

Sum the exponent values: $-2+5+3 = 6$
$u^{-2+5+3} = u^6$

Answer:

$u^6$