Negative Exponents

Front

What is a negative exponent?

Back

A negative exponent indicates that the base should be taken as the reciprocal and raised to the opposite positive exponent. For example, x^(-n) = 1/(x^n).

Front

Simplify x^(-3)

Back

1/(x^3)

Front

What is the value of any non-zero number raised to the power of 0?

Back

1

Front

Simplify (-5)^0

Back

1

Front

What does the expression 2^(-2) equal?

Back

1/(2^2) = 1/4

Front

If a^(-m) = 1/(a^m), what does this imply about negative exponents?

Back

Negative exponents represent the reciprocal of the base raised to the positive exponent.

Front

Simplify 3^(-1)

Back

1/3

Front

What is the result of 10^0?

Back

1

Front

If x^(-n) = 1/(x^n), what happens when n is 0?

Back

x^0 = 1 for any non-zero x.

Front

Simplify (2x)^(-3)

Back

1/(2^3 * x^3) = 1/(8x^3)