Question

(16m^4n^-3)^3 plss answer i will mark as brainliest ​

Answer 1

Step-by-step explanation:

1

:

Equation at the end of step 1

((16•(m4))•(n3))-((22•32m2)•n3)

STEP

2

:

Equation at the end of step

2

:

(24m4 • n3) - (22•32m2n3)

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

16m4n3 - 36m2n3 = 4m2n3 • (4m2 - 9)

Trying to factor as a Difference of Squares:

4.2 Factoring: 4m2 - 9

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 4 is the square of 2

Check : 9 is the square of 3

Check : m2 is the square of m1

Factorization is : (2m + 3) • (2m - 3)

Final result :

4m2n3 • (2m + 3) • (2m - 3)

Answer 2

Step-by-step explanation:

(16m^4n^-3)^3

( 16m⁴n-³)³

Hope it helps you !!