Question

Evaluate:-
[{(-1/3)2}-2]-1​

Answer 1

Answer:

We need to evaluate the given expression as :

(1^3+2^3+3^3)^{-5/2}(1

3

+2

3

+3

3

)

−5/2

We know that,

1³ = 1

2³ = 8

3³ = 27

So,

\begin{gathered}(1^3+2^3+3^3)^{-5/2}\\\\=(1+8+27)^{-5/2}\\\\=(36)^{-5/2}\end{gathered}

(1

3

+2

3

+3

3

)

−5/2

=(1+8+27)

−5/2

=(36)

−5/2

We know that, (6)² = 36

\begin{gathered}=(6)^{2\times \dfrac{-5}{2}}\\\\=(6)^{-5}\\\\=\dfrac{1}{6^5}\\\\=\dfrac{1}{7776}\end{gathered}

=(6)

2×

2

−5

=(6)

−5

=

6

5

1

=

7776

1

So, the value of (1^3+2^3+3^3)^{-5/2}(1

3

+2

3

+3

3

)

−5/2

is \dfrac{1}{7776}

7776

1

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.

Answer 2

Answer:

-4/3

Step-by-step explanation:

-1/3*2= ,-2/3*-2=4/3 =4/3*-1 =-4/3