The equivalent expression of \(64^\frac 14\) is \(2 \sqrt[4]{4}\)
What are equivalent expressions?
Equivalent expressions are expressions that have equal values, when compared
How to determine the equivalent expression?
The expression is given as:
\(64^\frac 14\)
Express 64 as the product of 16 and 4
\((16 * 4)^\frac 14\)
Take the fourth root of 16
\(2 * (4)^\frac 14\)
Express 4^1/4 as a root expression
\(2 * \sqrt[4]{4}\)
Evaluate the product of 2 and the radical expression
\(2 \sqrt[4]{4}\)
Hence, the equivalent expression of \(64^\frac 14\) is \(2 \sqrt[4]{4}\)
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