Zero indices
Zero indices.
- Check the brackets and the sign of the base before applying an index rule.
- For a common base: multiplication adds indices, division subtracts them, and a power of a power multiplies them.
- A negative index takes a reciprocal. A fractional index uses a root.
Example 1
Evaluate. Give an exact answer.
Example 2
Evaluate. Give an exact answer.
Your turn
Question 1 Any non-zero number divided by itself is 1, so any non-zero base to power zero is 1. Evaluate the power or root.
Evaluate. Give an exact answer.
Check answer
Question 2 Any non-zero number divided by itself is 1, so any non-zero base to power zero is 1. Evaluate the power or root.
Evaluate. Give an exact answer.
Check answer
Question 3 Any non-zero number divided by itself is 1, so any non-zero base to power zero is 1. Evaluate the power or root.
Evaluate. Give an exact answer.
Check answer
Question 4 Any non-zero number divided by itself is 1, so any non-zero base to power zero is 1. Evaluate the power or root.
Evaluate. Give an exact answer.
Check answer
Question 5 Any non-zero number divided by itself is 1, so any non-zero base to power zero is 1. Evaluate the power or root.
Evaluate. Give an exact answer.
Check answer
Evaluate. Give an exact answer.
Evaluate. Give an exact answer.
Evaluate. Give an exact answer.
Evaluate. Give an exact answer.
Evaluate. Give an exact answer.