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Choose an equivalent expression for two fifths raised to the fourth power times two fifths raised to the third power all raised to the second power.

Respuesta :

The equivalent expression of the given expression is (2/5)¹⁴

Writing an expression

From the question, we are to write an equivalent expression for the given expression

The given expression is

"two fifths raised to the fourth power times two fifths raised to the third power all raised to the second power"

That is,

[(2/5)⁴ × (2/5)³]²

Simplifying

[(2/5)⁴ × (2/5)³]²

Applying the multiplication law of indices, we get

[(2/5)⁴⁺³]²

Simplify further

[(2/5)⁷]²

This becomes,

(2/5)⁷ˣ²

(2/5)¹⁴

Hence, the equivalent expression of the given expression is (2/5)¹⁴

Learn more on Writing an Expression here: https://brainly.com/question/15775046

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