Question

Simplify the exponential expression:

(−3x⁴y⁵) ³.
a) 9x¹2y¹5

b)−27x¹2y¹5 -

c)27x¹2y¹5

d) −9x¹2y¹5"

Answer 1

To simplify the expression (−3x⁴y⁵)³, cube the digit term (-3) and multiply the exponent of each variable term (x⁴ and y⁵) by 3. The simplified expression is: -27x¹²y¹⁵.

Step-by-step explanation:

To simplify the exponential expression (−3x⁴y⁵)³, we need to cube the digit term (-3) and multiply the exponent of each variable term (x⁴ and y⁵) by 3.

First, cubing -3 gives -3³ = -27.

Next, multiplying the exponents of x⁴ by 3 gives x¹² (4 * 3 = 12), and multiplying the exponents of y⁵ by 3 gives y¹⁵ (5 * 3 = 15).

Combining all the results, the simplified expression is: -27x¹²y¹⁵.