Negative indices
Negative 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 A negative index means reciprocal, not a negative answer. Evaluate the power or root.
Evaluate. Give an exact answer.
Check answer
Question 2 A negative index means reciprocal, not a negative answer. Evaluate the power or root.
Evaluate. Give an exact answer.
Check answer
Question 3 A negative index means reciprocal, not a negative answer. Evaluate the power or root.
Evaluate. Give an exact answer.
Check answer
Question 4 A negative index means reciprocal, not a negative answer. Evaluate the power or root.
Evaluate. Give an exact answer.
Check answer
Question 5 A negative index means reciprocal, not a negative answer. 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.