Question

solve for ( a ). express your answer in simplest radical form if necessary.
( a = left( sqrt3{-25}
ight)^3 )
answer attempt 1 out of 3
additional solution no solution
( a = )
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Explanation:

Step1: Recall the property of cube roots

The property of exponents and radicals states that \((\sqrt[3]{x})^3 = x\) for any real number \(x\).

Step2: Apply the property to the given expression

In the given expression \(a = (\sqrt[3]{-25})^3\), we can apply the above property where \(x=-25\). So, by the property \((\sqrt[3]{-25})^3=-25\).

Answer:

\(-25\)