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GMAT Verbal Practice question quiz. Solve 20 GMAT Focus practice questions written by GMAT Ninja. Take this GMAT practice test live with peers in timed conditions, analyze your GMAT study progress, and see where you stand in the GMAT student pool.
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12 Mar 2025, 03:44
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
94% (00:24) correct
6%
(00:46)
wrong
based on 79
sessions
History
Date
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Not Attempted Yet
\(\sqrt [4] { (b^3)^8}=?\)
(A) \(b^2\)
(B) \(b^4\)
(C) \(b^6\)
(D) \(b^8\)
(E) \(b^{12}\)
(A) \(b^2\)
(B) \(b^4\)
(C) \(b^6\)
(D) \(b^8\)
(E) \(b^{12}\)
12 Mar 2025, 05:02
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Step 1: Simplify the Power Inside the Parentheses
Using the rule \(\left( a^m \right)^n = a^{m \cdot n}\):
\(\left( b^3 \right)^8 = b^{3 \cdot 8} = b^{24}\)
Now the expression becomes:
\(\text{Fourth root of } b^{24}\)
Step 2: Apply the Fourth Root
The fourth root of \(b^{24}\) can be written as:
\(\left( b^{24} \right)^{1/4} = b^{24 \cdot (1/4)} = b^{24/4} = b^6\)
Final Answer:
(C) \(b^6\)
Using the rule \(\left( a^m \right)^n = a^{m \cdot n}\):
\(\left( b^3 \right)^8 = b^{3 \cdot 8} = b^{24}\)
Now the expression becomes:
\(\text{Fourth root of } b^{24}\)
Step 2: Apply the Fourth Root
The fourth root of \(b^{24}\) can be written as:
\(\left( b^{24} \right)^{1/4} = b^{24 \cdot (1/4)} = b^{24/4} = b^6\)
Final Answer:
(C) \(b^6\)
