Question

PLEASE HELP!! // True Or False ?

1 . 6,859 1/3 can be written as 729 1/3 • 3 square root 19^3

2. 2,197 1/3 can be written as 729 1/3 • 3 square root 8

3. 8,000 1/3 can be written as 10 3 square root 8

4. 9,261 1/3 can be written as 3 square root 13 •13•13

5. 3,375 1/3 can be written as 3 square root 125 • 27 1/3

6. 5,832 1/3 can be written as 3 3 square root 343

Answer 1

Explanation:

1)
`6859^{(1)/(3) } =19 =\sqrt[3]{19^3}`

Hence true

2)
`2197^{(1)/(3) } =13\\\\\\729^{(1)/(3) } *8^{(1)/(3) } =9*2 =18`

False

3)
`8000^{(1)/(3) } =20=10*8^{(1)/(3) }`

True

4)
`9261^{(1)/(3) } =21\\\sqrt[3]{13*13*13} =13`

False

5)
`3375^{(1)/(3) } =15\\\sqrt[3]{125} *27^{(1)/(3) } =15`

False