Question

simplify the following (2197)⅓​

Answer 1

Answer:

2197^1/3=3√2197

that is 13

Step-by-step explanation:

hope it helps

Answer 2

The answer is 13

GIVEN

Number- (2197)⅓

TO FIND

To simply the given term

SOLUTION

We can simply solve the above problem as follows;

We are given a mathematical expression with its exponent as a fractional number.

We know that 2197 is a cube of 13

Therefore we can write 2197 as 13³

Now,

(2197)⅓ = (13³)⅓

According to the power of power rule:

(Aᵃ)ˢ = Aᵃˢ

So,

$( {13}^{3} )^{ \frac{1}{3} } = {13}^{3 \times \frac{1}{3} } = 13$

Since, 3 × 1/3 = 1

Hence,

$( 2197) ^{ \frac{1}{3} } = 13$

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