Question

r.4 multiplication rule for exp
simplify. express your answer as a single term, without a denominator.
$t^{7}u^{9}v \cdot t^{-1}u^{-1}v^{7}$

Explanation:

Step1: Group like bases

$t^7 \cdot t^{-1} \cdot u^9 \cdot u^{-1} \cdot v^1 \cdot v^7$

Step2: Apply exponent product rule

For base $t$: $t^{7 + (-1)} = t^{6}$
For base $u$: $u^{9 + (-1)} = u^{8}$
For base $v$: $v^{1 + 7} = v^{8}$

Step3: Combine simplified terms

$t^{6}u^{8}v^{8}$

Answer:

$t^{6}u^{8}v^{8}$