Question
Real Tutor Solution
Tutor-Verified Answer
Answer
a) \( m^{7} \)
Solution
a) \( \left(m^{2}\right)\left(m^{5}\right) = m^{7} \)
**Explicación:**
Cuando multiplicamos potencias de la misma base, sumamos los exponentes. Por lo tanto:
\[
m^{2} \times m^{5} = m^{2+5} = m^{7}
\]
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Simplify this solution Mind Expander
To solve \( \left(m^{2}\right)\left(m^{5}\right) \), remember that when you multiply powers with the same base, you add the exponents. So, you would add \( 2 + 5 \) to get \( m^{7} \). Thus, the answer is \( m^{7} \). In algebra, the properties of exponents come in handy not only in simplifying expressions but also in solving equations. For example, this property allows you to combine like terms, making it much easier to handle equations that feature variables raised to powers! Remember, mastering these foundational rules sets you up for success in more complex mathematical concepts!
