Final answer:
To simplify the expression (2x⁴ / (-3y - 4 )⁻³) and write it without negative exponents, you can move the negative exponent to the denominator, resulting in 1 / (2x⁴ * (-3y - 4 )³). Then, multiply the terms in the numerator and denominator.
Step-by-step explanation:
To simplify the expression (2x⁴ / (-3y - 4 )⁻³) and write it without negative exponents, we can use the rule that states a negative exponent can be moved to the denominator and become positive. So, first, we rewrite the expression as (2x⁴ * (-3y - 4 )³)⁻¹. Then, applying the negative exponent rule, we move the expression to the denominator, resulting in 1 / (2x⁴ * (-3y - 4 )³). Finally, we can further simplify by multiplying the terms in the numerator and denominator: 1 / (2x⁴ * (-3y - 4 )³) = 1 / (2x⁴ * -27y³ - 36y² - 48y³). This is the simplified expression without negative exponents.