MHB Laws of Exponents: Understand What Your Textbook Is Saying

[tmt1]

In my textbook,

it makes the leap from $2(2^{n + 1}) = 2^{n + 2}$ citing the laws of exponents.

I'm not sure which law of exponents it is referring to.

Thanks

 

[Prove It]

In my textbook,

it makes the leap from $2(2^{n + 1}) = 2^{n + 2}$ citing the laws of exponents.

I'm not sure which law of exponents it is referring to.

Thanks

$\displaystyle \begin{align*} a^m \cdot a^n = a^{m + n} \end{align*}$, and here you have $\displaystyle \begin{align*} 2^1 \cdot 2^{n + 1} = 2^{1 + n + 1} = 2^{n + 2} \end{align*}$.

 

[tmt1]

$\displaystyle \begin{align*} a^m \cdot a^n = a^{m + n} \end{align*}$, and here you have $\displaystyle \begin{align*} 2^1 \cdot 2^{n + 1} = 2^{1 + n + 1} = 2^{n + 2} \end{align*}$.

thanks so much :)