Question

simplify. express your answer using positive exponents. (10t^7)(9t^6)

Explanation:

Step1: Multiply the coefficients

$(10\times9)(t^{7}\times t^{6})$

Step2: Use exponent - product rule

When multiplying two terms with the same base $a^{m}\times a^{n}=a^{m + n}$. Here $a = t$, $m = 7$ and $n = 6$. So $t^{7}\times t^{6}=t^{7 + 6}=t^{13}$, and $10\times9 = 90$.
$90t^{13}$

Answer:

$90t^{13}$