Question

Which expression is equivalent to 144^3/2

Answer 1

Answer:

$\large\boxed{144^\frac{3}{2}=1728}$

Step-by-step explanation:

$\sqrt[n]{a^m}=a^\frac{m}{n}\\\\144^\frac{3}{2}=144^{1\frac{1}{2}}=144^{1+\frac{1}{2}}\qquad\text{use}\ a^na^m=a^{n+m}\\\\=144^1\cdot144^{\frac{1}{2}}=144\sqrt{144}=144\cdot12=1728$