Question

Simplify b^10/b^2, help me pls​

Answer 1

A) b^8

Explanation:

Answer 2

`\text{\bf{A.}}\quad b^8`

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:

`(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`

In terms of exponents, we write this as ...

`(b^(10))/(b^2)=b^(10-2)=b^8`