Write 1/1,024 as an expression using a negative exponent other than -1

Question

asked May 9, 2017 75.0k views

2 Answers

Pengju Zhao · Answer 1 · 2017-05-16T05:50:37+0000

Answer:

(1)/(2^(10))=2^(-10)

Explanation:

(1)/(1024)

To get the expression with negative exponent , we need to convert the number 1024 in exponential form

$1024= 2^5 \cdot 2^5= 2^(10)$

Replace the denominator by 2^10

(1)/(2^(10))

Now we apply exponential property

(1)/(a^m) =a^(-m)

(1)/(2^(10))=2^(-10)

negative exponent other than -1 is
(1)/(2^(10))=2^(-10)