Question

If√625=25, then√(0.00000625)/25 is?

Answer 1

625^x=5^2/5^x

5^4x=5^2-x

4x=2-x

4x plus x=2

5x=2

x=2/5

Answer 2

$\dfrac{\sqrt{0.00000625}}{25}=0.0001$

Step-by-step explanation:

Given : $\sqrt{625}=25$

To find : The value of $\frac{\sqrt{0.00000625}}{25}$ ?

Solution :

Re-write the expression as,

$\dfrac{\sqrt{0.00000625}}{25}=\dfrac{\sqrt{\frac{625}{100000000}}}{25}$

$\dfrac{\sqrt{0.00000625}}{25}=\dfrac{\frac{\sqrt{625}}{\sqrt{100000000}}}{25}$

Substitute the given value,

$\dfrac{\sqrt{0.00000625}}{25}=\dfrac{\frac{25}{10000}}{25}$

$\dfrac{\sqrt{0.00000625}}{25}=\dfrac{1}{10000}$

$\dfrac{\sqrt{0.00000625}}{25}=0.0001$

Therefore, $\dfrac{\sqrt{0.00000625}}{25}=0.0001$

#Learn more

625×(-35)+(-625)×25 into

https://brainly.in/question/5555655