Simplify (n^5)(n^2)(r^3)(r^4)

$(n^{5}) (n^{2}) (r^{3}) (r^{4})$

Step 1

Multiply $n^{5}$ by $n^{2}$ by adding the exponents.

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

$n^{5 + 2} r^{3} r^{4}$

Add $5$ and $2$ .

$n^{7} r^{3} r^{4}$

Step 2

Multiply $r^{3}$ by $r^{4}$ by adding the exponents.

Move $r^{4}$ .

$n^{7} (r^{4} r^{3})$

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

$n^{7} r^{4 + 3}$

Add $4$ and $3$ .

$n^{7} r^{7}$