Answer :
Final answer:
None of the given options are equivalent to the original expression 48x³. However, through the process of squaring exponentials, we can explore similar expressions.
Explanation:
The given choice options are not equivalent to the original expression 48x³.
However, if we attempt to find a similar term, it would be helpful to understand the relationship between exponents and their coefficients.
This concept involves the squaring of exponentials, where we square the digit term in the usual way and multiply the exponent of the exponential term by 2.
For example, if we have a term like 2x² and we square it, we'll get 4x⁴. If your original expression were 48x²and you looked to square it, you would get 2304x⁴, which is not among your choices.
Therefore, none of the given choices: 12x², 16x², 36x², or 48x² are equivalent to the original expression 48x².
Learn more about Equivalent Expressions:
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Final answer:
None of the given choices, i.e., 12x^2, 16x^2, 36x^2, and 48x^2 is equivalent to the expression '48x^3'. The power of 'x' in each option does not match the original expression.
Explanation:
The question is essentially asking what term is equivalent to the given expression '48x^3', out of the different given choices. Given the options, none of them are equivalent to '48x^3'.
If we have a look at each choice:
- a) 12x^2 - This expression indicates 'x' has an exponent of 2 and it's multiplied with 12. So it can't match with the expression which has 'x' cube.
- b) 16x^2 - Same explanation as before applies here. The power of 'x' is different and so multiplying 'x' with 16 won't make it match with our original expression.
- c) 36x^2 - this also can't be equivalent as the power of 'x' is different.
- d) 48x^2 - this seems little bit closer to original term as we are multiplying with 48 like in the original, but power of 'x' is still not matching.
So the answer is that none of the provided options are equivalent to the given expression '48x^3'.
Learn more about Equivalent Expressions here:
https://brainly.com/question/28170201
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