Simplify 5^1c^2c^3c^4

$5^{1} c^{2} c^{3} c^{4}$

Step 1

Multiply $c^{2}$ by $c^{3}$ by adding the exponents.

Move $c^{3}$ .

$5^{1} (c^{3} c^{2}) c^{4}$

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

$5^{1} c^{3 + 2} c^{4}$

Add $3$ and $2$ .

$5^{1} c^{5} c^{4}$

Step 2

Simplify $5^{1} c^{5} c^{4}$ .

$5 c^{5} c^{4}$

Step 3

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

Move $c^{4}$ .

$5 (c^{4} c^{5})$

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

$5 c^{4 + 5}$

Add $4$ and $5$ .

$5 c^{9}$