Simplify m² × m²
Understand the Problem
The question asks to simplify the expression m² × m². This involves applying the rules of exponents, specifically the product of powers rule.
Answer
$m^4$
Answer for screen readers
$m^4$
Steps to Solve
- Identify the rule of exponents
When multiplying exponential terms with the same base, add the exponents. This is the product of powers rule: $a^m \cdot a^n = a^{m+n}$.
- Apply the rule
In this case, the expression is $m^2 \cdot m^2$. The base is $m$, and the exponents are both $2$. Adding the exponents gives $2 + 2 = 4$.
- Simplify the expression
Therefore, $m^2 \cdot m^2 = m^{2+2} = m^4$.
$m^4$
More Information
The product of powers rule is fundamental in simplifying expressions with exponents. Understanding this rule allows for quick manipulation of exponential expressions.
Tips
A common mistake is to multiply the exponents instead of adding them. Remember that $m^2 \cdot m^2$ is not equal to $m^{2 \cdot 2} = m^4$ in all situations, the rule to apply here is adding exponents.
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