Govun Exponents: PRODUCT + POWER PROPERTIES Simplify. A (12jk4)2(-jk)(-j2k5)​

24 and 54

8

y to the power 5

negative 8 and 6

131

2 squared times 13

Question 1

24/6 yields 4 while 54/6 yields 9. every other combination of numbers will yield at least one result with a quotient and remainder.

Question 2

8 is the only number that is a common factor of 24, 48 and 144

Question 3

- (y^4)^2 = y^(4*2) = y^8

- (y^5)^2 = y^(5*2) = y^10

- (y^10)^2 = y^(10*2) = y^20 (correct answer)

- (y^12)^2 = y^(12*2) = y^24

Question 4

64^8 = 2^48

- (8^4)^2 = (8^8) = (2^3)^8 = (2^24)

- (32^4)^2 = (32^8) = (2^5)^8 = (2^40)

- (32^8)^2 = (32^16) = (2^5)^16 = (2^80)

- (8^8)^2 = (8^16) = (2^3)^16 = (2^48) (correct answer)

Question 5

4 * 12 = 48

-2 * -24 = 48

-8 * 6 = -48 (correct answer)

6 * 8 = 48

Question 6

131 is the only prime number

Question 7

104 = 2 * 2 * 2 * 13 = 2^3 * 13

Question 8

476 = 2 * 2 * 7 * 17 = 2^2 * 7 * 17

Question 9

104 = 2 * 2 * 2 * 13

260 = 2 * 2 * 5 * 13

Greatest common factor = 2 * 2 * 13 = 52

Question 10

312 = 2 * 2 * 3 * 13

444 = 2 * 2 * 3 * 37

Greatest common factor = 2 * 2 * 3 = 12

Question 11

a^6/a^2 = a^4 i.e. a to the power of 4

Question 12

Power of a Power Property

Question 13

(h/5)^2 = (h^2)/(5^2) = (h^2)/25

fraction numerator h squared over denominator 25 end fraction

Question 14

(3* m^2 * n^4)^3 = 3^3 * m^2*3 * n^4*3 = 27 * m^6 * n^12

27 m to the power of 6 end exponent n to the power of 12

Question 15

(3y)^4 * y^(-2) = 3 * y^(4-2) = 3y^2

3 y squared

Question 16 is missing

Question 17

(4 * x^8) / (16 * x^2) = x^(8-2) / 4 = (x^6)/4

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

c: y > - 1/6x + 1

step-by-step explanation:

dashed line - meaning this < or > also not equal

solid line - meaning this < or > also equal

your answer is c because y > means up & it's shaded up, but y < means down

hope this ! : )