Question

Rewrite the exponential expression 25^3/2as a radical expression- plss helpp

Answer 1

Answer:

Step-by-step explanation:

25  3/2  If  n  is a positive integer that is greater than  x  and  a  is a real number or a factor, then  a  x  n  =  n

√  a  x

.  a

x  n

=  n

√  a  x  Use the rule to convert  

25  3  2  to a radical, where  a  = 25

,  x  =  3  and,  n  =  2 .

√25  3

The result can be shown in multiple forms.

Exact Form:  √25  3

Decimal Form:

125

Answer 2

Answer:

$\huge\boxed{\sqrt{25^{3}}}$

Step-by-step explanation:

When we have a number to a fraction power, we need to note that

• It's the same as taking the denominator root of the base to the numerator power

Basically, for example, $5^{\frac{1}{2}}$ is the same as $\sqrt{5}$ since the numerator is 1 ($5^1 = 5$) and the denominator is 2 ($\sqrt{5}$).

Applying this same logic to $25^{\frac{3}{2}}$ -

$25^{3}$

$\sqrt{25^3}$

Hope this helped!