Simplify 6s^5t*s^4t^2

$6 s^{5} t \cdot s^{4} t^{2}$

Step 1

Multiply $s^{5}$ by $s^{4}$ by adding the exponents.

Move $s^{4}$ .

$6 (s^{4} s^{5}) t \cdot t^{2}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$6 s^{4 + 5} t \cdot t^{2}$

Add $4$ and $5$ .

$6 s^{9} t \cdot t^{2}$

Step 2

Multiply $t$ by $t^{2}$ by adding the exponents.

Move $t^{2}$ .

$6 s^{9} (t^{2} t)$

Multiply $t^{2}$ by $t$ .

Raise $t$ to the power of $1$ .

$6 s^{9} (t^{2} t^{1})$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$6 s^{9} t^{2 + 1}$

Add $2$ and $1$ .

$6 s^{9} t^{3}$