Simplify (4^x)(4^(-x)).

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Multiple Choice

Simplify (4^x)(4^(-x)).

Explanation:
The idea to use is that when you multiply powers with the same base, you add the exponents. So (4^x)(4^(-x)) = 4^{x + (-x)} = 4^0. Any nonzero base raised to the 0 power equals 1, so the expression simplifies to 1. This works for any real x because x + (-x) = 0 and 4 is not zero.

The idea to use is that when you multiply powers with the same base, you add the exponents. So (4^x)(4^(-x)) = 4^{x + (-x)} = 4^0. Any nonzero base raised to the 0 power equals 1, so the expression simplifies to 1. This works for any real x because x + (-x) = 0 and 4 is not zero.

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