Final answer:
The equivalent expression of (71 x 81)⁴, using the properties of exponents, is 71⁴ x 81⁴.
Step-by-step explanation:
To simplify (71 × 81)⁴ using the properties of exponents, we can use the power of a product property which states that the power of a product equals the product of the powers.
So, (71 × 81)⁴ can be rewritten as 71⁴ × 81⁴.
This is the equivalent expression using the bases.
Learn more about properties of exponents