Question Fully simplify. \[ \left(-5 x^{5} y^{3}\right)^{3} \] Answer Attempt 1 out of 2 Submit Answer Video

When you raise a power to a power, you multiply the exponents. So, for \((-5 x^{5} y^{3})^{3}\), you first distribute the exponent 3 to each part inside the parentheses. This gives you: \[ (-5)^{3} (x^{5})^{3} (y^{3})^{3} = -125 x^{15} y^{9} \] So the fully simplified expression is \(-125 x^{15} y^{9}\). To avoid common mistakes, remember that the negative sign in front of the coefficient also needs to be raised to the power. Additionally, don’t forget to multiply the exponents correctly; it’s a common slip to add them instead. Keeping track of these small details will help you avoid errors!