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 absolute value of the exponent. For example, a^-n = 1/a^n.

Front

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

Back

1. For any non-zero number x, x^0 = 1.

Front

Simplify: 2^-3

Back

1/2^3 = 1/8.

Front

Rewrite using a positive exponent: x^-4

Back

1/x^4.

Front

What is the result of simplifying (3x^-2)/(x^3)?

Back

3/x^5.

Front

Simplify: (-5)^0

Back

1.

Front

What does d^0 equal for any non-zero d?

Back

1.

Front

Rewrite using a positive exponent: y^-2

Back

1/y^2.

Front

Simplify: 4a^-1b^2

Back

4b^2/a.

Front

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

Back

Add the exponents: a^m * a^n = a^(m+n).