Question

Please help quickly!!! 

Answer 1

Answer:

Option D is correct.

$(2x^5y^2)^3= 8x^{15}y^6$

Step-by-step explanation:

Power of product property:

• $(x^m)^n = x^{mn}$

• $(ax)^m = a^m \cdot x^m$

Let the equation: $(2x^5y^2)^3$

Using power of products Property on given equation:

$(2x^5y^2)^3$ = $2^3 \cdot (x^5)^3 \cdot (y^2)^3 = 8 \cdot x^{15} \cdot y^6 = 8x^{15}y^6$

Therefore, the only option D of an equation which shows the correct use of power of Products property is,  $(2x^5y^2)^3= 8x^{15}y^6$

Answer 2

$(2x^5y^2)^3=2^3 \times (x^5)^3 \times (y^2)^3=8 \times x^{5 \times 3} \times y^{2 \times 3}=8x^{15}y^6$

The answer is D.