Respuesta :
Using the law of indices the equivalent expression of [tex]144^{\frac{3}{2} }[/tex] is 1728
How to find equivalent expression?
The equivalent expression of [tex]144^{\frac{3}{2} }[/tex] can be express as follows:
Using the law of indices,
[tex](a^{b} )^{c} = a^{bc}[/tex]
Applying this laws,
[tex]144^{\frac{3}{2} }=(12^{2} )^{\frac{3}{2} }[/tex]
Hence,
[tex]144^{\frac{3}{2} }=(12^{2} )^{\frac{3}{2} } = 12^{3}[/tex]
Finally,
12³ = 1728
learn more on expression here: https://brainly.com/question/16619965
#SPJ4
The expression that is equivalent to 144 superscript three-halves ([tex]144^{\frac{3}{2} }[/tex] ) is 1728
Evaluation of expression
From the question, we are to determine the expression which is equivalent to 144 superscript three-halves
The given expression is
[tex]144^{\frac{3}{2} }[/tex]
This can be simplified as shown below
[tex]144^{\frac{3}{2} }[/tex]
[tex](12^{2} )^{\frac{3}{2} }[/tex]
This becomes
[tex]12^{2 \times \frac{3}{2} }[/tex]
[tex]12^{3}[/tex]
= 1728
Hence, the expression that is equivalent to 144 superscript three-halves ([tex]144^{\frac{3}{2} }[/tex] ) is 1728.
Learn more on Evaluating an expression here: https://brainly.com/question/25896085
#SPJ4
