Simplify (x^3y^5)^3*(-x^6)y^5

${(x^{3} y^{5})}^{3} \cdot (- x^{6}) y^{5}$

Rewrite using the commutative property of multiplication.

$- {(x^{3} y^{5})}^{3} x^{6} y^{5}$

Apply the product rule to $x^{3} y^{5}$ .

$- ({(x^{3})}^{3} {(y^{5})}^{3}) x^{6} y^{5}$

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

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

$- (x^{3 \cdot 3} {(y^{5})}^{3}) x^{6} y^{5}$

Multiply $3$ by $3$ .

$- (x^{9} {(y^{5})}^{3}) x^{6} y^{5}$

Multiply $x^{9}$ by $x^{6}$ by adding the exponents.

Move $x^{6}$ .

$- (x^{6} x^{9} {(y^{5})}^{3}) y^{5}$

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

$- (x^{6 + 9} {(y^{5})}^{3}) y^{5}$

Add $6$ and $9$ .

$- (x^{15} {(y^{5})}^{3}) y^{5}$

Multiply the exponents in ${(y^{5})}^{3}$ .

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

$- (x^{15} y^{5 \cdot 3}) y^{5}$

Multiply $5$ by $3$ .

$- (x^{15} y^{15}) y^{5}$

Multiply $y^{15}$ by $y^{5}$ by adding the exponents.

Move $y^{5}$ .

$- (x^{15} (y^{5} y^{15}))$

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

$- (x^{15} y^{5 + 15})$

Add $5$ and $15$ .

$- (x^{15} y^{20})$

$- x^{15} y^{20}$