Answered


Please help quickly!!! 


Which equation shows the correct use of the Power of Products Property?

A(2x^5y^2)^3=6x^5y^2
B(2x^5y^2)^3=6x^15y^6
C(2x^5y^2)^3=8x^8y^5
D(2x^5y^2)^3=8x^15y^6

Verified Answer :

naǫ

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

The answer is D.

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,  \((2x^5y^2)^3= 8x^{15}y^6\)


Related Questions