What is the value of aaa when we rewrite 2^{x-6}+2^{x}2 x−6 +2 x 2, start superscript, x, minus, 6, end superscript, plus, 2, start superscript, x, end superscript as a\cdot 2^{x}a⋅2 x a, dot, 2, start superscript, x, end superscript ?

Step-by-step explanation:

Given:

The expression is given as:

The equivalent expression to the above expression is given as:

Now, simplifying the original expression using the law of indices:

So, . The expression becomes:

Now, is a common factor to both the terms, so we factor it out. This gives,

Now, on comparing the simplified form with the equivalent expression, we conclude:

Therefore, the value of 'A' is

step-by-step explanation: