Question

simplify. express your answer using positive exponents. 4u^2·7u^3

Explanation:

Step1: Multiply coefficients

$4\times7 = 28$

Step2: Use exponent - rule for multiplying like - bases

When multiplying two terms with the same base $a^m\times a^n=a^{m + n}$, here $a = u$, $m = 2$, $n = 3$, so $u^{2}\times u^{3}=u^{2 + 3}=u^{5}$

Step3: Combine results

The product is $28u^{5}$

Answer:

$28u^{5}$