The required value of exponent should Marian used to be is 7.
Given that,
Marina has the expression [tex]= \frac{-4a^{-2} b^{4} }{8a^{-6} b^{-3} }[/tex]
Where a ≠0, b≠0
The new expression = [tex]\frac{-1a^{4}(b)^{x} }{2}[/tex]
Assuming the exponent of b = x
We have to determine,
The exponent should marina is used to be.
According to the question,
To find the value of exponent of b is x. The calculation must be done in single unit.
Then, The value of exponent value of b .
[tex]= \frac{-4a^{-2} b^{4} }{8a^{-6} b^{-3} }\\\\ = \frac{-4a^{-2} a^{6} b^{4} b^{3} }{8 }\\\\ = \frac{-1 a^{(-2+6)} b^{(3+4)} }{2}\\\\ = \frac{-1 a^{4} b^{7} }{2} \\\\b = 7[/tex]
Hence, The required value of exponent of b is 7.
For more information about Exponent click the link given below.
https://brainly.com/question/16012916
