Question

simplify. express your answer using positive exponents.\\(2t^{3}u^{4}v\cdot 5tuv^{2}\\)

Explanation:

Step1: Multiply constant coefficients

$2 \times 5 = 10$

Step2: Combine $t$ terms (add exponents)

$t^3 \times t^1 = t^{3+1} = t^4$

Step3: Combine $u$ terms (add exponents)

$u^4 \times u^1 = u^{4+1} = u^5$

Step4: Combine $v$ terms (add exponents)

$v^1 \times v^2 = v^{1+2} = v^3$

Step5: Multiply all simplified terms

$10 \times t^4 \times u^5 \times v^3$

Answer:

$10t^4u^5v^3$