WILL GIVE BRAINLIEST ASAPP Apply the rules of exponents and solve leaving your answer in base-exponent form:

4^3 x 4^5 =

5^8 ÷ 5^-2 =

(6^3 ) ^ 4 =

Step-by-step explanation:

Applying rules of exponents to solve the given problems;

    4^3 x 4^5 =

    5^8 ÷ 5^-2 =

     (6^3 ) ^ 4 =

For these problems, the applicable rules of exponents are;

      aᵇ x aⁿ  = aᵇ⁺ⁿ

      aᵇ  ÷ aⁿ = aᵇ⁻ⁿ

       (aᵇ)ˣ  = aᵇˣ

For the first problem; 4³ x 4⁵

     aᵇ x aⁿ  = aᵇ⁺ⁿ

      4³ x 4⁵  = 4³⁺⁵   = 4⁸

   Second problem: aᵇ  ÷ aⁿ = aᵇ⁻ⁿ

      5⁸ ÷ 5⁻²  = 5⁸⁻⁽⁻²⁾  = 5⁸⁺²  = 5¹⁰

    Third problem;  (aᵇ)ˣ  = aᵇˣ

       (6³)⁴  = 6³ˣ⁴  = 6¹²

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: