Questions: Simplify. Express your answer as a single term using exponents.
796^90 cdot 796^98
Transcript text: Simplify. Express your answer as a single term using exponents.
\[
796^{90} \cdot 796^{98}
\]
Solution
Solution Steps
To simplify the expression \( 796^{90} \cdot 796^{98} \), we can use the property of exponents that states \( a^m \cdot a^n = a^{m+n} \). Here, the base \( 796 \) is the same, so we can add the exponents.
Step 1: Identify the Exponents
We are given the expression \( 796^{90} \cdot 796^{98} \). The exponents are 90 and 98, respectively.
Step 2: Apply the Exponent Addition Rule
Using the property of exponents \( a^m \cdot a^n = a^{m+n} \), we add the exponents:
\[
90 + 98 = 188
\]