By using exponent properties, we will see that the solutions are:
a) 15
b) 270.
How to solve the given expressions?
Here you need to remember that:
[tex](\sqrt[n]{x} )^n = x[/tex]
a) First, we want to solve:
[tex](\sqrt{5})^2*(\sqrt{3} )^2[/tex]
And these are square roots, then:
Now if we apply the above relation, we get:
[tex](\sqrt{5})^2*(\sqrt{3} )^2 = 5*3 = 15[/tex]
b) Now we have the expression:
[tex](\sqrt[3]{9} )^3*(\sqrt{30})^2[/tex]
Again using the relation:
[tex](\sqrt[3]{9} )^3*(\sqrt{30})^2 = 9*30 = 270[/tex]
If you want to learn more about exponents:
https://brainly.com/question/24487155
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