Question

Which expression is equivalent to 144^3/2?

Answer 1

144=12², so 144^3/2=(12²)^(3/2)=12³=1728

Answer 2

we are given

$(144)^{\frac{3}{2} }$

we can write it as

$144=12 \times 12$

$144=12^2$

we can replace it as

$(144)^{\frac{3}{2} }=(12^2)^{\frac{3}{2} }$

$(144)^{\frac{3}{2} }=(12)^{2*\frac{3}{2} }$

$(144)^{\frac{3}{2} }=(12)^{3 }$

$(144)^{\frac{3}{2} }=1728$...............Answer