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The Value of 64-1/3 (641/3-642/3), is - Mathematics

MCQ

The value of 64-1/3 (641/3-642/3), is

Options

  • 1

  • \[\frac{1}{3}\]

  • -3

  • -2

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Solution

Find the value of `64^(-1/3)(64^(1/3) - 64^(2/3)) `

So,

 `64^(-1/3)(64^(1/3) - 64^(2/3))  =  2^(6 xx (-1)/3) (  2^(6 xx (1)/3) -   2^(6 xx (2)/3) )`

`= 2^-2(2^2- 2^4)`

`= 2^-2(4-16)`

`64^(1/3) (64^(1/3) - 64^(2/3)) =  1/2^2 xx -12`

                            ` = 1 /4 xx -12`

                           `= -3`

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 2 Exponents of Real Numbers
Q 31 | Page 32
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