this is for a practice test. i just need the explanation on how to solve them and help solving them. or for a couple of them to check my answers.

Question

write each expression using a single exponent.

1) x^9/x^2

A)x^11**
B)x^7
C)7
D)x^5

2) h^14/h^5

A)h^-9
B)h^1/9
C)h^19**
D)h^9

simplify each expression

3) 4^4/4^6

A)-16
B)16
C)1/16
D)-1/16

4) 50

A)0
B)5
C)1
D)-5

5) Replace the ____ with <,>, or = to make a true statement.

7^4/7^2_____49

A)<
B)>
C)=**
D)non of the above

Multiply the following polynomials.

6)-2r(8r+5)

A)-16r^2+5
B)-16r+10
C)-16r-10r**
D)-16r-10

7) 4a(a^2+7a+4)

A)4a+28a^2
B)4a^3+28a^2+16a**
C)4a^3+44a
D)44a^4

8) (2y-3)(3y-2)

A)6y^2-13y+6
B)6y^2-13y-6**
C)6y^2+13y-6
D)6y^2+13y+6

Answer 1

1) x^9/x^2 = x(9-2) = x^7

Answer 2

2) h^14/h^5
14 - 5 = 9, not 19

Answer 3

3) 4^4/4^6
4 - 6 = -2
4^-2 = 1/4^2 = 1/16

A)-16
B)16
C)1/16
D)-1/16

Answer 4

4) 50

A)0
B)5
C)1
D)-5

Perhaps you mean 5^0
but anything^0 = 1

Answer 5

7^4/7^2 = 7^2 = 7*7 = 49 right

Answer 6

6)-2r(8r+5)

A)-16r^2+5
B)-16r+10
C)-16r-10r**
D)-16r-10

Nah, -16 r^2 - 10 r
probably c but a typo

Answer 7

7 yes

8 A because -3 * -2 = +6

Answer 8

@Damon, thank you so much, and yes, number 7 was a typo. but thank you so much for your help