Questions: Simplify. Express your answer as a single term using exponents. 724^1 · 724^1

Transcript text: Simplify. Express your answer as a single term using exponents. $724^{1} \cdot 724^{1}$

Solution

Solution Steps

To simplify the expression $724^1 \cdot 724^1$ using the rules of exponents, we can use the multiplication rule for exponents which states that $a^m \cdot a^n = a^{m+n}$. Here, both exponents are 1, so we add them together.

Step 1: Apply the Multiplication Rule of Exponents

We start with the expression $724^1 \cdot 724^1$. According to the multiplication rule of exponents, we can combine the terms as follows: \[ 724^1 \cdot 724^1 = 724^{1+1} = 724^2 \]

Step 2: Calculate $724^2$

Next, we compute $724^2$: \[ 724^2 = 524176 \]