Zero and Negative Exponents

Front

What is a negative exponent?

Back

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

Front

Rewrite 1/12^4 using a negative exponent.

Back

12^(-4)

Front

What does (-5)^-4 equal when rewritten with a positive exponent?

Back

1/(-5)^4

Front

What is the base in the expression 2^3?

Back

2

Front

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

Back

1

Front

How do you simplify the expression 12^3 * 12^(-5)?

Back

12^(-2) or 1/(12^2).

Front

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

Back

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

Front

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

Back

Subtract the exponents: a^m / a^n = a^(m-n).

Front

How do you express 1/(x^3) using a negative exponent?

Back

x^(-3).

Front

What is the value of (-9)^0?

Back

1.