How can you use the fact that 25^2=625 to show that 5^-4 =1/625 ? explain your process thinking.

The answer to your question is:

Step-by-step explanation:

Given

                                      25² = 625

Show that

                                     5⁻⁴ =

Process

Find the prime factors of 25

                                                25    5

                                                  5    5

                                                   1

Then    25 = 5²

Substitution

                                  (5²)² = 625

                                  (5)⁴ = 625

Get the inverse

                                  (5⁴) ⁻¹ = 625⁻¹

But negative powers are not allowed, then,

step-by-step explanation:

given perimeter: 28cm

length: 9cm

atp,

2(l+w)=p of the reactangle

2(9+x)=28

18+2x=28

2x=28-18

x=10/2

x=5

therefore width is 5 cm