Respuesta :
The given expression as single exponent is:
[tex]4^4 \times 4^{-7} \times 4 = 4^{-2}[/tex]
Solution:
Given expression is:
[tex]4^4 \times 4^{-7} \times 4[/tex]
In exponents,
When the base is same, exponents can be added
Which means,
[tex]a^m \times a^n = a^{m+n}[/tex]
Therefore,
[tex]4^4 \times 4^{-7} \times 4 = 4^{4-7+1}\\\\Simplify\\\\4^4 \times 4^{-7} \times 4 = 4^{-3+1} \\\\4^4 \times 4^{-7} \times 4 = 4^{-2}[/tex]
Thus the given expression as single exponent is:
[tex]4^4 \times 4^{-7} \times 4 = 4^{-2}[/tex]
