Question

Answer correctly thank youuu

Answer 1

Explanation:

12^2 = ( 4 * 3)^2 = 4^2 3^2

so you have 4^2 * 3^2 * 3^3 =

4^2 * 3^(2+3) =

4^2 * 3^5 =

16 * 3^5 =

16 *243 =3888

Answer 2

2⁴ *3⁵

Explanation:

Exponents:

• Prime factorize 12.

12 = 2 * 2 * 3 = 2² * 3

12² * 3³ = (2² * 3)² * 3³

• Apply exponent law.

`\boxed{(a*b)^m = a^m * b^m}`

`\sf = (2^2)^2*3^2 * 3^3`

• Again, apply exponent law

`\boxed{\bf (a^m)^n = a^(m*n)}`

`\sf = 2^(2*2)*3^2*3^3\\\\= 2^4*3^2*3^3`

`\boxed{\bf a^m * a^n = a^(m+n)}`

`\sf = 2^4 * 3^(2+3)\\\\ =2^4* 3^5`

Answer: 2⁴ * 3⁵