Negative & Exponents of Zero

Front

What is the value of any expression raised to the power of zero?

Back

1

Front

Simplify: (a^4 b^{19} c^{21} d^{-14})^0

Back

1

Front

What does a negative exponent indicate?

Back

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

Front

Rewrite using a positive exponent: w^{-13}

Back

1/w^{13}

Front

What is the result of simplifying any non-zero number raised to the power of zero?

Back

1

Front

Simplify: 8^0

Back

1

Front

Back

Front

Simplify: 18x^{25} / x^{15}

Back

18x^{10}

Front

What is the value of 0^0?

Back

Undefined, but often treated as 1 in combinatorics.

Front

If a^m * a^n = a^{m+n}, what happens when m or n is zero?

Back

a^m * a^0 = a^m and a^0 * a^n = a^n.