which expression is equivalent to 144^\\frac{3}{2}? 216 1,728 \\sqrt3{12} \\sqrt3{72}
which expression is equivalent to 144^\\frac{3}{2}? 216 1,728 \\sqrt3{12} \\sqrt3{72}
Answer
Explanation:
Step1: Simplify the expression
We know that (144^{\frac{3}{2}}=(12^{2})^{\frac{3}{2}}). Using the power - of - a - power rule ((a^{m})^{n}=a^{mn}), we get (12^{2\times\frac{3}{2}} = 12^{3}).
Step2: Calculate (12^{3})
(12^{3}=12\times12\times12 = 1728).
Answer:
(1,728)