Question

Write the following surd in exponential form 3 root 9

Answer 1

Answer:

Step-by-step explanation:

Write the following surd in exponential form 3 root 9

ANSWER

Given we need to write the given surd in the exponential form. The given surd is 3 root 9 written as 3√9

In the exponential form it can be written as 3(9^1/2). Similarly 3 cube root of 9 is written as 3 (9)^1/3.

So the given form will be 3 x 9^1/2  = 3 x (3^2)^1/2

Answer 2

Write the following surd in exponential form 3 root 9 :

$\sqrt[3]{9} = 9^\frac{1}{3}$

Solution:

Given that,

We have to write the following surd in exponential form 3 root 9

$\sqrt[3]{9}$

The order of a surd indicates the index of root to be extracted

$\sqrt[n]{a}$

n is the index of root to be extracted

$\sqrt[n]{a} = a^\frac{1}{n}$

Thus, in exponential form, we can write as:

$\sqrt[3]{9} = 9^\frac{1}{3}$

Thus, the given is written in exponential form

Learn more:

1. Write the following surds in exponential form:

i) √2 ii)3√9 iii) 5√20 iv)17√19

2.Write the surds in radical form:

i) 5^1/7 ii) 17^1/6 iii) 5^2/5 iv) 142^1/2

https://brainly.in/question/12810539

Write the following surds in exponential form

1) √2

2)3√9

3)5√20​

https://brainly.in/question/10800714