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

Write 10^-4 in standard form.

Back

.0001

Front

Solve (-8)^-2.

Back

1/64

Front

Rewrite 2w^-13 using a positive exponent.

Back

2/w^13

Front

What is 3^-4 in standard form?

Back

1/81

Front

Simplify (-x)(-x)(-x)(-x)(-x)(-x).

Back

x^6

Front

How do you convert a negative exponent to a positive exponent?

Back

To convert a negative exponent to a positive exponent, take the reciprocal of the base and change the sign of the exponent. For example, x^-n = 1/(x^n).

Front

What is the value of 5^-1?

Back

1/5

Front

If a^(-m) = 1/(a^m), what is the value of 2^(-3)?

Back

1/8

Front

What does the expression 10^0 equal?

Back

1 (Any non-zero number raised to the power of 0 is 1.)