Q:

simplify b^10/b^2, help me pls​

Accepted Solution

A:
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 timesand   b² = b·b . . . . . . . . . . . . . . . . . . . . b is a factor 2 timesThen 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]