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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

PLEASE HELP True Or False 1 6859 13 can be written as 729 13 3 square root 193 2 2197 13 can be written as 729 13 3 square root 8 3 8000 13 can be written as 10 class=

Respuesta :

sqdancefan

Answer:

1. TRUE

2. False

3. TRUE

4. False

5. TRUE

6. False

Step-by-step explanation:

1. 6859^(1/3) = 19 = ∛(19^3)

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2. 2197^(1/3) = 13 ≠ 9·2

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3. 8000^(1/3) = 20 = 10·2

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4. 9261^(1/3) = 21 ≠ 13

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5. 3375^(1/3) = 15 = 5·3

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6. 5832^(1/3) = 18 ≠ 3·7

Answer:

Step-by-step explanation:

1) [tex]6859^{\frac{1}{3} } =19 =\sqrt[3]{19^3}[/tex]

Hence true

2) [tex]2197^{\frac{1}{3} } =13\\\\\\729^{\frac{1}{3} } *8^{\frac{1}{3} } =9*2 =18[/tex]

False

3) [tex]8000^{\frac{1}{3} } =20=10*8^{\frac{1}{3} }[/tex]

True

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

False

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

False

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