Simplify 2^12 * 2^12.
Understand the Problem
The question is asking to simplify an expression involving exponents. We need to use the properties of exponents to simplify the expression 2^12 * 2^12.
Answer
$2^{24}$
Answer for screen readers
$2^{24}$
Steps to Solve
- Identify the property to use
When multiplying exponential terms with the same base, we add the exponents. This is the property $a^m \cdot a^n = a^{m+n}$.
- Apply the property
In our case, the base is 2, and the exponents are both 12. So, we have: $2^{12} \cdot 2^{12} = 2^{12+12}$
- Simplify the exponent
Adding the exponents, we get: $2^{12+12} = 2^{24}$
$2^{24}$
More Information
$2^{24}$ is equal to 16,777,216.
Tips
A common mistake is to multiply the exponents instead of adding them. Remember that $a^m \cdot a^n = a^{m+n}$, not $a^{m \cdot n}$. Another mistake could be incorrectly calculating the sum of the exponents.
AI-generated content may contain errors. Please verify critical information
