Question

2 square x 2cube x two cube =​

Answer 1

Answer:

256

Step-by-step explanation:

2 square =2×2

2 cube =2×2×2

2 cube =2×2×2

2×2×2×2×2×2×2×2 =256

Answer 2

Answer:

Given:

2 cube x 3 square and 2 square x 3 cube

To Find:

Find the LCM of the given number

Solution:

Let us first express the number in whole number form,

\begin{gathered}2^3*3^2=72\\2^2*3^3=108\\\end{gathered}

2

3

∗3

2

=72

2

2

∗3

3

=108

now we can find the LCM of these numbers using different methods like the long division method or Factorization method, here we will be using the Factorization method, for which first we prime factorize the numbers and we take all the prime numbers from every factorization with their highest power and multiply them together to get the value of their LCM

\begin{gathered}72=2^3*3^2\\108=2^2*3^3\end{gathered}

72=2

3

∗3

2

108=2

2

∗3

3

So, now taking the prime factors 2 and 3 with their highest power which are 3 and 3 respectively so the LCM will be,

\begin{gathered}LCM(72,108)=2^3*3^3\\=216\end{gathered}