Negative Exponent Rule

Front

What is the Negative Exponent Rule?

Back

The Negative Exponent Rule states that a negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, a^(-n) = 1/(a^n).

Front

Simplify: s^-5 ⋅ s^-2

Back

1/s⁷

Front

Solve: (-8)^-2

Back

1/64

Front

Rewrite using a positive exponent: 2w^-13

Back

2/w¹³

Front

Simplify: xy^-7

Back

x/y⁷

Front

What does a negative exponent represent?

Back

A negative exponent represents the reciprocal of the base raised to the absolute value of the exponent.

Front

If a^-m = 1/a^m, what is a^-3?

Back

1/a³

Front

Simplify: (x^-2)(x³)

Back

x¹ or x

Front

What is the result of a⁰?

Back

Any non-zero number raised to the power of zero is equal to 1.

Front

Simplify: 5^-1

Back

1/5