Respuesta :
It is not because when numbers have an exponent and are multiplied, the exponents are added.
For example:
[tex] x^{3} [/tex] × [tex] x^{3} [/tex] × [tex] x^{3} [/tex] = [tex] x^{9} [/tex]
When a number with an exponent is multiplied with a whole number, the coefficients are multiplied. In this case [tex] x^{3} [/tex] has an imaginary 1 being multiplied to it, so 1 will be multiplied to the other numbers.
[tex]1 x^{3} [/tex] × 3 × 3 = [tex] 9x^{3} [/tex]
Therefore, the expressions are not the same because the second equation does not have other variables being multiplied to it.
For example:
[tex] x^{3} [/tex] × [tex] x^{3} [/tex] × [tex] x^{3} [/tex] = [tex] x^{9} [/tex]
When a number with an exponent is multiplied with a whole number, the coefficients are multiplied. In this case [tex] x^{3} [/tex] has an imaginary 1 being multiplied to it, so 1 will be multiplied to the other numbers.
[tex]1 x^{3} [/tex] × 3 × 3 = [tex] 9x^{3} [/tex]
Therefore, the expressions are not the same because the second equation does not have other variables being multiplied to it.
No, the expression [tex]x^3 * x^3 * x^3[/tex] is not equivalent to [tex]x^{3*3*3}[/tex]
How to determine the equivalent statement?
The expression is given as:
[tex]x^3 * x^3 * x^3[/tex]
Apply the law of indices
[tex]x^{3 +3 +3}[/tex]
This means that:
[tex]x^3 * x^3 * x^3[/tex] is equivalent to [tex]x^{3 +3 +3}[/tex], not [tex]x^{3*3*3}[/tex]
Hence, the expression [tex]x^3 * x^3 * x^3[/tex] is not equivalent to [tex]x^{3*3*3}[/tex]
Read more about equivalent expressions at:
https://brainly.com/question/2972832
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