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The value of 64^(-1/3)\ (64^(1/3)-64^(2/...

The value of `64^(-1/3)\ (64^(1/3)-64^(2/3)),` is 1 (b) `1/3` (c) `-3` (d) `-2`

Text Solution

Verified by Experts

`64^(-1/3)(64^(1/3)-64^(2/3))`
We know that,
`(4^3)^(-1/3)((4^3)^(1/3)-(4^3)^(2/3))`
Applying exponent identity
`(ab)^x=a^bxx x`
`(4)^(-3/3)((4)^(3/3)-(4)^(2xx3/3))`
`(4)^-1((4)^1-(4)^2)`
`(4)^-1(4-16)`
`1/4xx-12`
`-3`
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Evaluate: (64)^(1/3)

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Knowledge Check

  • 64^(2/3)xx64^(1/3)xx64^((-5)/3)

    A
    `1/64`
    B
    `1/16`
    C
    32
    D
    `1/32`

  • The value of 64^(-(2)/(3))+[(64)^(2/3)]^(1/2) is :

    A
    `8(1)/(8)`
    B
    `4(1)/(16)`
    C
    `4^(-1)`
    D
    `4^(-2)`

  • Find the value of [7(64^((1)/(3))+27^((1)/(3)))^(3)]^((1)/(4))

    A
    7
    B
    6
    C
    49
    D
    343

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    (64/512)^(1/3)

    Find the value of (64)^(-2//3) xx (frac(1)(4))^-2

    Simplify (64) ^( 1//3) + (64)^(- 1//3).

    The value of:- (i) 64^(1/2) (ii) 32^(1/5) (iii) 125^(1/3) .

    The value of:- (i) 64^(1/2) (ii) 32^(1/5) (iii) 125^(1/3) .

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