Question

simplify
8m^-2×m^2/3​

Answer 1

Step-by-step explanation:

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ANSWER ✍️

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STEP

1

:

Equation at the end of step 1

(23m2 - 2m) - 3

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 8m2-2m-3

The first term is, 8m2 its coefficient is 8 .

The middle term is, -2m its coefficient is -2 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 8 • -3 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -2 .

-24 + 1 = -23

-12 + 2 = -10

-8 + 3 = -5

-6 + 4 = -2 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 4

8m2 - 6m + 4m - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

2m • (4m-3)

Add up the last 2 terms, pulling out common factors :

1 • (4m-3)

Step-5 : Add up the four terms of step 4 :

(2m+1) • (4m-3)

Which is the desired factorization

Final result :

(4m - 3) • (2m + 1)

hope this helps you

Answer 2

Answer:

8m^-2×m^2/3

8 m^ - 2+2/3 = 8 m ^ (-6+2) /3 = 8 m^-4/3 Ans.