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:

$y^a\cdot y^{a+2}=y^{2a+2}$