Simplify (5^2x^6)(5^3x^4)

$(5^{2} x^{6}) (5^{3} x^{4})$

Step 1

Rewrite using the commutative property of multiplication.

$5^{2} \cdot 5^{3} x^{6} x^{4}$

Step 2

Multiply $5^{2}$ by $5^{3}$ by adding the exponents.

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

$5^{2 + 3} x^{6} x^{4}$

Add $2$ and $3$ .

$5^{5} x^{6} x^{4}$

Step 3

Multiply $x^{6}$ by $x^{4}$ by adding the exponents.

Move $x^{4}$ .

$5^{5} (x^{4} x^{6})$

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

$5^{5} x^{4 + 6}$

Add $4$ and $6$ .

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

Step 4

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

$3125 x^{10}$