Help with exponential equations maths Q. ?

Question

This is probably the easiest one in the book, but I have no idea how to approaach it!

Q. Express 1/32 in the form a^n ?

Can you explain how this works, not just give an answer?

Answer 1

1/32

1/2^5 [32=2^5]

2^(-5) [1/x=x^(-1)]

Answer 2

(1/32)=(1/2)^5

this form is (1/a)^n

to change it:

((a)^-1)^-n

by power law

(a)^-n

so (1/32)

is 2^-5

Answer 3

32 = 2^5

so

1/32

= 1 / 2^5

= 2^(-5)

The negative tells you the fraction is upside down

Answer 4

1

---

32

=1

-----

2^5

=2^0                [a^0=1]

----------

2^5

=2^(0-5)   [a^n/a^m=a^(n-m)]

=2^-5          

Hope it helps!

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