1.7 Negative and Zero Exponents

Front

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

Back

1

Front

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

Back

Use the reciprocal: a^(-n) = 1/(a^n) for any non-zero a.

Front

Simplify: 4^7 ⋅ 4^4

Back

4^(7+4) = 4^11.

Front

Simplify: (-9)^0

Back

1.

Front

Simplify: (-8)^-2

Back

1/(-8)^2 = 1/64.

Front

Simplify: 3^-3

Back

1/3^3 = 1/27.

Front

What does a negative exponent indicate?

Back

It indicates the reciprocal of the base raised to the opposite positive exponent.

Front

Simplify: 9^-3

Back

1/9^3.

Front

What is the result of 0 raised to any positive exponent?

Back

0.

Front

What is the result of 0 raised to the power of 0?

Back

Undefined.