Question

Ayie says that 7^(-3) is the same as -7^(3). Write an explanation of how Ayie should interpes 7^(-3), then show her how each expression results in a different value.

Answer 1

Related Concepts

• Exponent rules

When a negative sign is placed in front of a number, the simplified result will always be negative.

`-7^3=-343`

When a number is raised to a negative exponent, the simplified result will be a fraction like so:

`7^(-3)=(1)/(7^3)=(1)/(343)`