Expand the Expression: Solving 2^(2a+a) Step by Step

Expand the following equation:

$2^{2a+a}=$

To solve the problem, we can follow these steps:

• Step 1: Recognize that the given expression is $2^{2a+a}$.
• Step 2: Use the Power of a Power Rule for exponents, which allows us to write $a^{m+n} = a^m \times a^n$.
• Step 3: Rewrite the expression as follows:

Given: $2^{2a+a}$

Step 4: Simplify the exponent by splitting it:

Since the expression in the exponent is $2a+a$, we can write:

$2^{2a+a} = 2^{2a} \times 2^a$

Thus, applying the properties of exponents correctly leads us to the expanded form.

Therefore, the expanded equation is $2^{2a} \times 2^a$.