Negative and Zero Powers

Front

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

Back

1

Front

What is the result of multiplying two numbers with negative exponents, such as 2^-3 ⋅ 2^-4?

Back

Add the exponents: 2^(-3 + -4) = 2^-7, which equals 1/128.

Front

Simplify: y^6 * y^0

Back

y^6 (since y^0 = 1)

Front

What is the value of h^0 for any non-zero h?

Back

1

Front

Rewrite using a positive exponent: (-5)^-4

Back

1/(-5)^4

Front

What does a negative exponent indicate?

Back

It indicates the reciprocal of the base raised to the absolute value of the exponent.

Front

Simplify: 3^0 x 14^0

Back

1 (since any non-zero number raised to the power of 0 is 1)

Front

What is the result of 2^-3?

Back

1/2^3 = 1/8

Front

If a^m * a^n = a^(m+n), what happens when m or n is negative?

Back

The same rule applies; just remember to add the negative values.

Front

What is the value of 0^0?

Back

Undefined (in most contexts, but often treated as 1 in combinatorics).