What is the simplified form of 3a^4b^-2c^3?
a. (81a^4c^3)/(b^2)
b. (81a^4)/(b^2c^3)
c. (3a^4)/(b^2c^3)
d. (3a^4c^3)/(b^2) d what is -a^-2 if a = -5?
a. -25
b. 25
c. -1/25
d. 1/25 d what is (-m)^-3n if m = 2 and n = -24?
a. 3
b. -3
c. 4
d. -4 a

1. Simplified form of:   3 a^4 * 4 b^(-2) * c^3 =
= ( 3 a^4 * 4 c^3 ) / ( b^2 )
d.
2.  If a = - 5,
- a^(-2) = - ( - 5 )^(-2) = - ( 1/ 5^2 ) = - 1/25
c.
3. If m = 2 and n = - 24:
( - 2 )^(-3) * ( - 24 ) = 1 / (- 2 )^3  * ( - 24 ) = - 1 / 8 * ( - 24 ) = 24 / 8 = 3
a. 3

1. The correct option is d.

2. The correct option is c.

3. The correct option is a.

Step-by-step explanation:

1.

The given expression is

Using property of exponent the given expression can be written as

             

Therefore, the correct option is d.

2.

The given expression is

Using property of exponent the given expression can be written as

             

Put a=-5

Therefore option c is correct.

3.

The given expression is

Using property of exponent the given expression can be written as

Put m=2 and n=-24.

Therefore option a is correct.

Choice B is right for edge