Question

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

Answer 1

`2 a^(2) b^(2)`

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)`.