Powers of negative numbers
Powers of negative numbers.
- 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 An even number of negative factors gives a positive result; an odd number gives a negative result. Evaluate the power or root.
Evaluate. Give an exact answer.
Check answer
Question 2 An even number of negative factors gives a positive result; an odd number gives a negative result. Evaluate the power or root.
Evaluate. Give an exact answer.
Check answer
Question 3 An even number of negative factors gives a positive result; an odd number gives a negative result. Evaluate the power or root.
Evaluate. Give an exact answer.
Check answer
Question 4 An even number of negative factors gives a positive result; an odd number gives a negative result. Evaluate the power or root.
Evaluate. Give an exact answer.
Check answer
Question 5 An even number of negative factors gives a positive result; an odd number gives a negative result. 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.