Question

What is the equivalent expression for the following: 10^6 ÷ 10^4

a:
10^24
b:
1
c:
10^2
d:
10^10

Answer 1

9514 1404 393

Answer:

c. 10^2

Explanation:

It can be helpful to remember that an exponent signifies repeated multiplication. Here, the denominator factors cancel an equal number of numerator factors

`(10^6)/(10^4)=(10\cdot10\cdot10\cdot10\cdot10\cdot10)/(10\cdot10\cdot10\cdot10)=10\cdot10=\boxed{10^2}`