Question

Write the expression 44(4–7)(4) using a single exponent.

Answer 1

D). 4^-2

Explanation:

Just did it on edge.

Answer 2

The given expression as single exponent is:

`4^4 * 4^(-7) * 4 = 4^(-2)`

Solution:

Given expression is:

`4^4 * 4^(-7) * 4`

In exponents,

When the base is same, exponents can be added

Which means,

`a^m * a^n = a^(m+n)`

Therefore,

`4^4 * 4^(-7) * 4 = 4^(4-7+1)\\\\Simplify\\\\4^4 * 4^(-7) * 4 = 4^(-3+1) \\\\4^4 * 4^(-7) * 4 = 4^(-2)`

Thus the given expression as single exponent is:

`4^4 * 4^(-7) * 4 = 4^(-2)`