Answer:

here :DD

yung may mga equal sign sa kaliwa yung final answer

Step-by-step explanation:

PRODUCT LAW

1) x³ • x²

3+2 = 5

=x^5

2) x¹² • x¹²

12+12=24

=x^24

3) 8⁶ • 8²

6+2=8

8^8

=16777216

4) 2⁴ • 2⁹

4+9=13

2^13

=8192

5) 5⁵ • 5³

5+3=8

5^8

=390620

QUOTIENT LAW

A.

1) a⁷ / a⁶

7-6 = 1

a^1

=a

2) a⁵ / a²

5-2=3

=a^3

3) b⁸ / b³

8-3=5

=a^5

4) x¹⁰ / x³

10-3=7

=x^7

5) y³ / y

3-1

=y^2

C.

1) x⁷ / x⁹

7-7=0

9-7=2

x^0=1

=1/x^2 or =x^-2

2) y³ / y⁵

3-3=0

5-3=2

y^0=1

=1/y^2 or =y^-2

3) x⁸ / x¹¹

8-8=0

11-8=3

x^0=1

=1/x^3 or = x^-3

4) x⁵ / x⁹

5-5=0

9-5=4

x^0=1

=1/x^4 or = x^-4

5) 7⁶ / 7⁹

6-6=0

9-6=3

7^0=1

7^3=343

=1/343

POWER OF A POWER

1) (y³)⁷

3*7=21

=y^21

2) (8³)⁵

3*5=15

=y^15

3) (b⁷)⁸

7*8=56

=b^56

4) (a²)⁸

2*8=16

=a^16

5) (x²)¹²

2*12=24

=x^24

POWER OF A PRODUCT

1) (7ab²)³

7^3 = 343

1*3 = 3

2*3= 6

=343a^3b^6

2) (6ab²)⁵

6^5= 7776

1*5=5

2*5=10

=7776a^5b^10

3) (8b²)⁴

8^4=4096

2*8 = 16

=4096b^16

4) (28cd)²

28^2=784

1*2=2

1*2=2

784c^2d^2

5) (7xy²)⁶

7^6=117649

1*6=6

2*6=12

117649x^6y^12

POWER OF A QUOTIENT

1) (x² / y⁸)⁵

2*5=10

8*5=40

=x^10/y^40

2) (4² / a³)⁵

2*5=10

3*5=15

=4^10/a^15 or =1048576/a^15

3) (x⁹ / y⁸)⁵

9*5=45

8*5=40

=x^56/y^40

4) (x⁸ / y⁶)⁹

8*9=72

6*9=54

=x^72/y^54

5) (6² / 5)⁴

2*4=8

1*4=4

6^8=1679616

5^4=625

=1679616/625