Question

Simplify 2•a•b•a•b help needed pleasee

Answer 1

Answer:

$2 a^{2} b^{2}$

Step-by-step explanation:

Step 1: The given expression is 2·a·b·a·b.

Dot represents multiplication.

Step 2: To simplify the expression, arrange like terms into one group

2·a·b·a·b = 2·(a·a)·(b·b)

Step 3: Law of exponents: $x^{m} \cdot x^{n}=x^{m+n}$

Using the law of exponents formula, we get

2·(a·a)·(b·b)  = $2 a^{(1+1)} b^{(1+1)}$

                  = $2 a^{2} b^{2}$

Therefore, 2·(a·a)·(b·b)  = $2 a^{2} b^{2}$

Hence, the simplified form of 2·(a·a)·(b·b)  is $2 a^{2} b^{2}$.