(1 point)
Responses
Because these are like terms, we just add the coefficients to get 8x
Because these are like terms, we just add the coefficients to get 8 x
Because we only worry about the exponent on the variable, 2⋅x^4
Because we only worry about the exponent on the variable, 2⋅x^4
Because when you are multiplying with exponents, you would add to get 8⋅x^4
Because when you are multiplying with exponents, you would add to get 8⋅x^4
Because there are 4 factors of 2 and 4 factors of x, 24⋅x^4
Because there are 4 factors of 2 and 4 factors of x, 24⋅x^4
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1 answer
To write \(2x \cdot 2x \cdot 2x \cdot 2x\) in exponent form, we can see that we have 4 factors of both \(2\) and \(x\).
Thus, we can express it as follows:
\[ (2 \cdot 2 \cdot 2 \cdot 2) \cdot (x \cdot x \cdot x \cdot x) = 2^4 \cdot x^4 \]
So the correct exponent form of \(2x \cdot 2x \cdot 2x \cdot 2x\) is \(2^4 \cdot x^4\).
Among the choices provided, the correct reasoning corresponds to "Because there are 4 factors of 2 and 4 factors of x, \(2^4 \cdot x^4\)."
