State whether true or false and justify your answer:

$2^{3} > 5^{2}$ .

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True

False

answer is B.

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Detailed Solution

The given statement is false.
Concept- In exponential form,

2^{3}

and

5^{2}

. Extend and increase them.
Determine whether the entity is true or false by comparing the value. For the same, use the fundamental exponential formula.

"X to the n" or "xn"

is the result if n is a positive integer and x is any real number.
Here, n is the exponent or power, and x is the base.

∴ 2^{3} = 2 \times 2 \times 2 = 8

Likewise, 5^{2} = 5 \times 5 = 25 .

Given 2^{3} > 5^{2}, 8 > 25 is incorrect . 2^{3} > 5^{2}

is a false expression that is presented.
If

2^{3} {< 5}^{2},

it would be accurate
Hence, the correct option is false.
ExamType: CBSE

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