Question

Which expression is equivalent to (2^7⋅3^−5⋅9)^4?

Answer 1

The expression (2⁷ · 3⁻⁵ · 9)⁴ is equivalent to the power expression 2²⁸ / 3¹² = 505.109.

How to simplify an expression involving power expressions

In this problem we find an expression involving several numbers in power form and we must simplify into a single real number by using algebra properties:

1. (2⁷ · 3⁻⁵ · 9)⁴                          Given
2. (2⁷)⁴ · (3⁻⁵)⁴ · (3²)⁴                   Power of a product of numbers / Definition of power
3. 2²⁸ · 3⁻²⁰ · 3⁸                          Power of a power
4. 2²⁸ · 3⁻¹²                                 Multiplication of powers with equal base
5. 2²⁸ / 3¹²                                  Power of a power / Definition of division / Result

To learn more on power properties: https://brainly.com/question/26480839

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