Question

Express-1/100000 and 196/256 in exponential form​

Answer 1

Step-by-step explanation:

To convert into exponential form, we need to do following

a) -1/100000

Can also be written as

-1 x 10^-5 or -10^-5

b) 196/256

can also be written as

7 x 7  /  2 x 2 x 2 x 2 x 2 x 2

= 7^2 / 2^6  or 7^2 x 2 ^-6

Answer 2

Given : -1/100000 and 196/256

To Find : Express in exponential form​

Solution:

exponential form​ :

• a way of representing repeated multiplications of the same number

by writing the number as a base with the number of repeats

written as a small number to its upper right.

-1/100000

- 1  = (-1) * (-1) * (-1) * (-1) * (-1)  = (-1)⁵

10000 = 10 * 10 * 10 * 10  * 10 = 10⁵

=> -1/100000  = (-1/10)⁵

196 / 256

196 = 14²

256 = 16²

196 / 256 = (14/16)²

14 * 16 has 2 as HCF  

=> 196 / 256 = (7/8)²

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