Zero and Negative Exponents

Front

What is the definition of a negative exponent?

Back

A negative exponent indicates that the base should be taken as the reciprocal and raised to the absolute value of the exponent.

Front

Rewrite using positive exponents: 5x⁻³

Back

1/(5x³)

Front

What is the value of x⁰?

Back

1, for any non-zero x.

Front

Simplify: 2x⁻²

Back

2/x²

Front

Rewrite using positive exponents: a⁻n

Back

1/aⁿ

Front

What does 0⁰ equal?

Back

0⁰ is considered indeterminate, but often defined as 1 in many contexts.

Front

Simplify: 4y⁻1

Back

4/y

Front

Make this negative exponent positive: 7⁻²

Back

1/7²

Front

What is the rule for multiplying powers with the same base?

Back

Add the exponents.

Front

Simplify: (x⁻²)(x³)

Back

x¹ or x.