Question

Evaluate the value of (104) to the power 2 using suitable identities

Answer 1

Step-by-step explanation:

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Answer 2

Given:

A number in the exponential form (104)².

To Find:

The expansion of the above form using suitable identities.

Solution:

1. Consider the given number (104)².

2. The given number can be also written as,

=> (104)² = (100+4)²,

3. The formula for the expansion of (a+b)² is,

=> (a+b)² = a² + b² + 2ab,

4. Use the above formula to find the value,

=> (100+4)² = 100² + 4² + 2 x 100 x 4,

=> (100+4)² = 10000+ 16 + 800,

=> (100+4)² = 10816.

Therefore, the value of (104)² is 10816.