Question

Y to the power of a times y to the power of a plus 2

Answer 1

Multiplying monomials

To multiply two or more expressions with the same base, we add the exponents.

For example:

`x^2\cdot x^3\cdot x^7=x^((2+3+7))=x^(12)`

We are given the expression (in letters)

`y^a\cdot y^(a+2)`

Since both factors have the same base y, we have to add both exponents:

`\begin{gathered} y^a\cdot y^(a+2)=y^(a+a+2) \\ \end{gathered}`

Since a+a+2 = 2a+2:

`y^a\cdot y^(a+2)=y^(2a+2)`