Negative exponents

Front

What is a negative exponent?

Back

A negative exponent indicates that the base should be taken as the reciprocal. For example, x^-n = 1/x^n.

Front

Simplify: x^-7

Back

x^7

Front

Rewrite with a negative exponent: 1/12^4

Back

12^-4

Front

Simplify: 5^5 * 5^-3

Back

5^2

Front

Rewrite using positive exponents: 1/4^2

Back

4^-2

Front

What is the Power Rule for exponents?

Back

The Power Rule states that (a^m)^n = a^(m*n).

Front

What is the Product Rule for exponents?

Back

The Product Rule states that a^m * a^n = a^(m+n).

Front

What is the Quotient Rule for exponents?

Back

The Quotient Rule states that a^m / a^n = a^(m-n).

Front

What does it mean to simplify an expression with exponents?

Back

To simplify means to reduce the expression to its simplest form using exponent rules.

Front

What is the Zero Exponent Rule?

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1.