Simplify (10x)^2(10x)^3

${(10 x)}^{2} {(10 x)}^{3}$

Step 1

Multiply ${(10 x)}^{2}$ by ${(10 x)}^{3}$ by adding the exponents.

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

${(10 x)}^{2 + 3}$

Add $2$ and $3$ .

${(10 x)}^{5}$

Step 2

Apply the product rule to $10 x$ .

$10^{5} x^{5}$

Step 3

Raise $10$ to the power of $5$ .

$100000 x^{5}$