Question

simplify. express your answer using positive exponents. 7st^3u^8 * 8s^5t^2u

Explanation:

Step1: Multiply coefficients

$7\times8 = 56$

Step2: Multiply variables with same base using exponent - rule $a^m\times a^n=a^{m + n}$

For $s$: $s^1\times s^5=s^{1 + 5}=s^6$
For $t$: $t^3\times t^2=t^{3+2}=t^5$
For $u$: $u^8\times u^1=u^{8 + 1}=u^9$

Step3: Combine results

$56s^6t^5u^9$

Answer:

$56s^6t^5u^9$