Question

simplify. express your answer using positive exponents.\\(\frac{(9u^{5})(4u)}{9u^{0}}\\)

Explanation:

Step1: Simplify numerator constants

Multiply 9 and 4:
$9 \times 4 = 36$

Step2: Simplify numerator variables

Add exponents of $u$:
$u^5 \times u^1 = u^{5+1} = u^6$

Step3: Simplify denominator

Any non-zero term to 0 power is 1:
$9u^0 = 9 \times 1 = 9$

Step4: Simplify the fraction

Divide constants and subtract exponents:
$\frac{36u^6}{9} = 4u^{6-0} = 4u^6$

Answer:

$4u^6$