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Damm [24]
3 years ago
6

Please help quickly!!! 

Mathematics
2 answers:
stiks02 [169]3 years ago
4 0

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


adoni [48]3 years ago
4 0
(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.
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