Question

(20)² = 4² X _____. Fill in the blank to make the statement true.

Answer 1

Hey there !

Solution:

Prime Factorisation of 20 = 4 × 5

=> 20² = ( 4 × 5 )²

We know that, ( a × b )² = a² × b². So we get,

=> 20² = 4² × 5² => Equation 1

According to the Question,

20² = 4² × x => Equation 2

Comparing Equation 1 and Equation 2, we get,

x = 5²

Hence the blank to be filled is 5² which is 25.

Hope my answer helped !

Answer 2

( 20 )² = 4² × 5²

Explanation :

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We know the Exponential law :

( ab )ⁿ = aⁿ × bⁿ

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Here ,

( 20 )²

= ( 4 × 5 )²

= 4² × 5²

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