Question

Jude incorrectly simplified the expression (1/2)^2 × 1/2 × (1/2)^3 as shown below

(1/2)^2 × 1/2 × (1/2)^3 = (1/8)^6 = 1/262,144
Describe the mistake she made.

Answer 1

When you are multiply any common x that has exponents, you only add the exponents and do not change the base number like shown below with x:, she should gave gotten:


`(1/2)^(2+1+3) = (1/2)^(6) = 1/64`

Here is the general example:

`x^(n) + x^(n+1) = x^(2n+1)`