Answer :

mhanifa

Convert the radicals as follows:

  • [tex]\sqrt[6]{25^3}= \sqrt[6]{(5^2)^3}= \sqrt[6]{5^6}=5^{6/6}=5^1=5[/tex]
  • [tex]\dfrac{1}{\sqrt[3]{5^4} } =\dfrac{1}{5^{4/3}} }[/tex]   - can't be further simplified

The simplification of the expression are;

[tex]\sqrt[6]{25^3}[/tex] = 5

[tex]\dfrac{1}{\sqrt[3]{5^4} } =\dfrac{1}{5^{4/3}} }[/tex]

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.

We are given the expression as;

[tex]\sqrt[6]{25^3}[/tex]

Convert the radicals as follows:

[tex]\sqrt[6]{25^3}\\\\= \sqrt[6]{(5^2)^3}\\\\= \sqrt[6]{5^6}\\\\=5^{6/6}\\=5^1=5[/tex]

Now,

[tex]\dfrac{1}{\sqrt[3]{5^4} } =\dfrac{1}{5^{4/3}} }[/tex]

Here this cannot be further simplified.

To know more about an expression follow;

brainly.com/question/19876186

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