find the product,write your answer using only positive number.9h to the neg 2 power x 5h to the 10 power

Question

explain how you got your answer. please.

Answer 1

9h to the -2 power = (9h)^-2 = 1/(9h)² = 1/(9²h²) = 1/81h²

 

Rule: a^-n = 1/(aⁿ)

 

5h to the 10th power = (5h)¹⁰ = 5¹⁰h¹⁰

 

Rule: (ab)ⁿ = aⁿbⁿ

 

(1/81h²) x (5¹⁰h¹⁰)

 

= [(5¹⁰) (h¹⁰)] / [(81) (h²)]

 

Rule: (1/b)* a = a/b

 

= (5¹⁰/81)h^(10-2)

 

Rule: (a^m/aⁿ) = a^(m-n)

 

⁼ (5¹⁰/81) h⁸

 

 

If your equation is 9h^-2 x 5h¹⁰

 

= (9x5) h^-2h¹⁰

 

then this equals : (9x5) h^(-2+10) = 45h⁸

 

Rule: a^xa^y = a^(x+y)