Question

simplify. express your answer using positive exponents. 10tuv^5·8t^3u^7v

Explanation:

Step1: Multiply the coefficients

$10 \times 8 = 80$

Step2: Combine $t$ terms (add exponents)

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

Step3: Combine $u$ terms (add exponents)

$u^1 \cdot u^7 = u^{1+7} = u^8$

Step4: Combine $v$ terms (add exponents)

$v^5 \cdot v^1 = v^{5+1} = v^6$

Step5: Multiply all simplified parts

$80 \cdot t^4 \cdot u^8 \cdot v^6$

Answer:

$80t^4u^8v^6$