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Stels [109]
3 years ago
10

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

Mathematics
2 answers:
OlgaM077 [116]3 years ago
8 0

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

Agata [3.3K]3 years ago
6 0

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!

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