Question

Express the following in base and index form.
(-8/27)​

Answer 1

Answer:

We know that:



So, we can write 8 as 23.

Likewise, 27 can be written as 33

and 125 can be written as 53. 

So far, we have considered numbers that have a group of the same factors. Sometimes, a number has more than one group of the same factors as shown in the following example.

Example 20

Write 200 in simplest index form.

Solution:

Answer 2

Answer:

-8 and 27 are the cube roots of -2 and 3. It can also be written as (-2/3)^3. The Index (or power) is 3.

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