What is the product of 4^4(4^–7)(4)?
The product of 4^4(4^–7)(4) can be simplified as follows:
4^4(4^–7)(4) = (4^4)(4^–7)(4) = (4^(4-7))(4) = 4^(-3)(4)
Using the property of exponents, we subtract the exponents:
4^(-3)(4) = (1/4^3)(4) = 1/(4^3) * 4 = 1/64 * 4 = 4/64
Simplifying further, we have:
4/64 = 1/16
So, the product of 4^4(4^–7)(4) is 1/16.