Simplify 7x^6y^4+(x^3y^2)^2

$7 x^{6} y^{4} + {(x^{3} y^{2})}^{2}$

Step 1

Simplify each term.

Apply the product rule to $x^{3} y^{2}$ .

$7 x^{6} y^{4} + {(x^{3})}^{2} {(y^{2})}^{2}$

Multiply the exponents in ${(x^{3})}^{2}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$7 x^{6} y^{4} + x^{3 \cdot 2} {(y^{2})}^{2}$

Multiply $3$ by $2$ .

$7 x^{6} y^{4} + x^{6} {(y^{2})}^{2}$

Multiply the exponents in ${(y^{2})}^{2}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$7 x^{6} y^{4} + x^{6} y^{2 \cdot 2}$

Multiply $2$ by $2$ .

$7 x^{6} y^{4} + x^{6} y^{4}$

Step 2

Add $7 x^{6} y^{4}$ and $x^{6} y^{4}$ .

$8 x^{6} y^{4}$