Answer:
[tex]\text{\bf{A.}}\quad b^8[/tex]
Step-by-step explanation:
It may be helpful to remember that an exponent signifies repeated multiplication:
b¹⁰ = b·b·b·b·b·b·b·b·b·b . . . . . . . b is a factor 10 times
and
b² = b·b . . . . . . . . . . . . . . . . . . . . b is a factor 2 times
Then the division can be simplified by using the denominator factors to cancel 2 of the numerator factors:
[tex]\dfrac{b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b}{b\cdot b}=b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b=b^8[/tex]
In terms of exponents, we write this as ...
[tex]\dfrac{b^{10}}{b^2}=b^{10-2}=b^8[/tex]
