Question

Evaluate (
1^3+2^3+3^3)^-5/2

Answer 1

$(1^3+2^3+3^3)^{-5/2}$ =  $\dfrac{1}{7776}$

Step-by-step explanation:

We need to evaluate the given expression as :

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

We know that,

1³ = 1

2³ = 8

3³ = 27

So,

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

We know that, (6)² = 36

$=(6)^{2\times \dfrac{-5}{2}}\\\\=(6)^{-5}\\\\=\dfrac{1}{6^5}\\\\=\dfrac{1}{7776}$

So, the value of $(1^3+2^3+3^3)^{-5/2}$ is $\dfrac{1}{7776}$.

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Answer 2

(1³+2³+3³)-5/2

• (1+8+27) -5/2
• (36)-5/2

• we know that
• (6)²=36
• (6²*-5/2)
• (6)-5
• (1/6) power 5

• 1/7776
• answer..

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