Express each of the following numbers using the exponential notation:
$(i)$ 512
$(ii)$ 343
$(iii)$ 729
$(iv)$ 3125

Given :

The given numbers are $(i).\ 3125$ $(ii).\ 729$ $(iii).\ 343$ $(iv).\ 512$.

To do :

We have to express the given numbers in exponential form.

Solution :

$(i).\ 512$

$512 = 8 \times 8\times 8 = 8^3$

Therefore, 512 in exponential form is $8^3$.  

$(ii).\ 343$

$343 = 7 \times 7\times 7 = 7^3$

Therefore, 343 in exponential form is $7^3$.

$(iii).\ 729$

$729 = 3 \times 3\times 3\times 3 \times 3 \times 3 = 3^6$

Therefore, 729 in exponential form is $3^6$.

$(iv).\ 3125$

$3125 = 5 \times 5\times 5\times 5 \times 5 = 5^5$

Therefore, 3125 in exponential form is $5^5$.  

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

534 Views

Kickstart Your Career

Get certified by completing the course

Get Started