Question

Show that 155 can be expressed as the sum of 2 and a cube number.

Answer 1

Answer:

2⁷ + 3³

Step-by-step explanation:

I think the question is incorrect. it should be "Show that 155 can be expressed as the sum of a power of 2 and a cube number.

155 = 128 + 27

      = 2⁷ + 3³

Answer 2

155 is expressed as the sum of 2 and a cube number: $155 = 2^7 + 3^3$

Solution:

Given that 155 can be expressed as the sum of a power of 2 and a cube number

Let the power of 2 is 7

According to the given question,

${2}^{7} + {x}^{3} = 155\\\\x^3 = 155 - 2^7\\\\x^3 = 155 - 128\\\\x^3 = 27\\\\x = 3$

So, 128 + 27 = 155

Which is,

$2^7 + 3^3 = 155$

Thus 155 is expressed as the sum of 2 and a cube number

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