Question

2½(here ½ is the power of 2) and 7¼(here ¼ is the power of 7)

so my question is,
Simplify: 2½ . 7¼
Here what the ' . '(fullstop) denotes​ and also simplify it

Answer 1

Answer:

At each step as we decrease the index, the number is halved. Thus it is sensible to define

2−1 = .

Furthermore, continuing the pattern, we define

2−2 =  = , 2−3 =  = , and so on.

These definitions are consistent with the index laws.

For example,  = 23 − 4 = 2−1. But clearly,  = .

Similarly,  = 22 − 4 = 2−2. but clearly,  =  = .

We can confirm our intuition by considering and .

In general, for any non-zero number , and positive integer , we define

a−1 =  and a−n = .

Step-by-step explanation:

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