Questions: Simplify. Express your answer as a single term using exponents. 796^90 cdot 796^98

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. \[ 796^{90} \cdot 796^{98} \]
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Solution

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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: \[ 90 + 98 = 188 \]

Final Answer

\[ \boxed{796^{188}} \]

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