Question

THIS IS FOR 19 POINTS!!!

Answer 1

1).  To multiply with like bases, add the exponents ===>  5² x 5⁵ = 5⁷

2).  Same rule.  e² x e⁷ = e⁹

3).  Same rule, but make sure to start with like bases.

2a⁵ x 6a = (2 x 6) (a⁵ x a¹) = 12 a⁶

4).  Same rule, but make sure to start with like bases.

4x² (-5)x⁶ = (4) (-5) (x² x⁶) = -20x⁸

5).  To divide with like bases, subtract the denominator (divisor) exponent
from the numerator (dividend) exponent. ===> 7⁹ / 7³ = 7⁶

6).  Same rule.    v¹⁴ / v⁶ = v⁸

7).  Same rule, but make sure to start with like bases.

15w⁷ / 5w² = (15/5) (w⁷/w²) = 3 w⁵

8).  Same rule, but make sure to start with like bases.

10 m⁸ / 2m = (10/2) (m⁸ / m¹) = 5m⁷

9).  Same rules.  Add exponents to multiply, subtract them to divide.

( 2⁵ x 3⁷ x 4³ ) / (2¹ x 3⁵ x 4) = (2⁵ / 2¹) x (3⁷ / 3⁵) x (4³ / 4¹) = 2⁴ x 3² x 4²

10).  (4¹⁵) x (-5)⁶ / (4¹² x (-5)⁴ ) = (4¹⁵/4¹²) x [ (-5)⁶/(-5)⁴ ] = 4³ x (-5)² = 4³ x 5²

11).  (6⁷ x 7⁶ x 8⁵) / (6⁵ x 7⁵ x 8⁴) = (6⁷ / 6⁵) x (7⁶ / 7⁵) x (8⁵ / 8⁴)
       You can finish it from here, you Crazy Unicorn you.

12).  [ (-3)⁶ x 10⁵ ] / [ (-3)⁴ x 10³ ]   =  [ (-3)⁶ / (-3)⁴ ] x (10⁵/10³)  
        The last step is yours.  Take it !