Question

try it!
try: match the equivalent expressions
because $9x^2$ and $3x^2$ have description of bases and description of exponents, the two terms can/cannot be combined into a single term.
because $4y^4$ and $4y$ have description of bases/exponents, the two terms can/cannot be combined into a single term.
check
explain

Explanation:

Step1: Analyze \(9x^2\) and \(3x^2\)

For like terms (to combine), bases and exponents must match. \(9x^2\) and \(3x^2\) have the same base (\(x\)) and same exponent (\(2\)). So "description of bases" is "the same", "description of exponents" is "the same", and they "can" be combined.

Step2: Analyze \(4y^4\) and \(4y\)

\(4y^4\) has exponent \(4\) on \(y\), \(4y\) has exponent \(1\) (implied) on \(y\). So bases are same (\(y\)) but exponents different. Thus "description of bases/exponents" is "same base, different exponents", and they "cannot" be combined.

Answer:

For \(9x^2\) and \(3x^2\):

• description of bases: the same
• description of exponents: the same
• can/cannot be combined: can

For \(4y^4\) and \(4y\):

• description of bases/exponents: same base, different exponents
• can/cannot be combined: cannot