Question

simplify the following using laws of exponents​

Answer 1

Step-by-step explanation:

1) 2¹⁰ x 2⁴ = 2¹⁰+⁴ = 2¹⁴

2) (3²)x(3²)⁴ = (3²)x(3⁸) = 3¹⁰

3) 5⁷/5² = 5⁷-² = 5⁵

4) 9²x9¹⁸x9¹⁰ = 9³⁰

5) (3/5)⁴(3/5)³(3/5)⁸ = (3/5)¹⁵

6) (-3)³(-3)¹⁰(-3)⁷ = (-3)²⁰

7) (3²)² = 3⁴

8) 2⁴ x 3⁴ = 6⁴

9) 2⁴^a x 2⁵^a = 2⁹^a

10) (10²)³ = 10⁶

11) [(-5/6)²]⁵ = (-5/6)¹⁰

12) 2³^a+⁷ x 2⁷^a+³ = 2¹⁰^a+¹⁰

13) (2/3)⁵ = (2⁵/3⁵)

14) (-3)³ x (-5)³ = (15)³

15) (-4)⁶/(-4)³ = (-4)³

16) 9⁷/9¹⁵ = 9-⁸

17) (-6)⁵/(-6)⁹ = (-6)-⁴

18) (-7)⁷ x (-7)⁸ = (-7)¹⁵

19) (-6⁴)⁴ = (-6)¹⁶

20) a^x * a^y * a^z = a^x+y+z