Identify like terms in the list. \( 2.2 q ; 3 a^{4} ; 2 q ; 2 t ; z^{4} \) \( a ; 3 a^{4} ; \frac{2}{3} r ; \frac{q}{3} ; 10 r \)
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Like terms are terms that contain the same variable raised to the same power. From your list, the first set of like terms includes \( 2.2 q \) and \( 2 q \) since both terms have the variable \( q \). In the second set, the like terms are \( 3 a^{4} \) and \( a \) does not match, but \( \frac{2}{3} r \) and \( 10 r \) are like terms because they both have the variable \( r \). In the world of algebra, recognizing like terms is key to simplifying expressions and solving equations. It’s like sorting your candy – you wouldn’t mix gummy bears with chocolate bars if you want to enjoy each flavor! By combining like terms, you make calculations easier and your expressions cleaner, paving the way for smoother mathematical journeys ahead.