Final answer:
To simplify the expression -15w⁵x⁴/-3w²x², we can use the Quotient Rule of exponents by subtracting the exponents of the variables w and x.
Step-by-step explanation:
To simplify the given expression, -15w⁵x⁴/-3w²x², we can use the Quotient Rule of exponents. The Quotient Rule states that when dividing exponential terms with the same base, you subtract the exponents. So, in this case, the variable w is raised to the power of 5 in the numerator and 2 in the denominator, so we subtract the exponents: 5-2=3. Similarly, the variable x is raised to the power of 4 in the numerator and 2 in the denominator, so we subtract the exponents: 4-2=2.
Therefore, the simplified expression is -15w³x²/(-3), which can be further simplified to 5w³x².