xotticBeauty
Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

What is the cube root of 216x^9y^18 ?


A: 4x^3y^6
B: 6x^3y^6
C: 72x^6y^15
D: 213x^6y^15

What Is The Cube Root Of 216x9y18 A 4x3y6 B 6x3y6 C 72x6y15 D 213x6y15 class=

Sagot :

Wallind123

[tex]4 {x}^{3} {y}^{6} [/tex]

OPTION A

sreedevi102

Answer:

option B

Step-by-step explanation:

Cube root of x means  [tex]x^{\frac{1}{3}[/tex]

Formulas used :

[tex](a^x)^y = a^{xy}[/tex]

[tex](b^3)^{\frac{1}{3}} = b[/tex]

Therefore cube root of :

                   [tex](216 x^9 y^{18})^{\frac{1}{3}} = (6^3 \times (x^3)^3 \times (y^6)^3)^{\frac{1}{3}}[/tex]

                                     [tex]= (6^3)^{\frac{1}{3}} \times ((x^3)^3)^{\frac{1}{3}} \times ((y^6)^3)^{\frac{1}{3}}[/tex]

                                     [tex]= 6 \times x^3 \times y^6[/tex]

                                     [tex]=6x^3y^6[/tex]

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.