Answer :
[tex](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[/tex]
The answer is D.
The answer is D.
Answer:
Option D is correct.
[tex](2x^5y^2)^3= 8x^{15}y^6[/tex]
Step-by-step explanation:
Power of product property:
- [tex](x^m)^n = x^{mn}[/tex]
- [tex](ax)^m = a^m \cdot x^m[/tex]
Let the equation: [tex](2x^5y^2)^3[/tex]
Using power of products Property on given equation:
[tex](2x^5y^2)^3[/tex] = [tex]2^3 \cdot (x^5)^3 \cdot (y^2)^3 = 8 \cdot x^{15} \cdot y^6 = 8x^{15}y^6[/tex]
Therefore, the only option D of an equation which shows the correct use of power of Products property is, [tex](2x^5y^2)^3= 8x^{15}y^6[/tex]
