Negative Exponents

Front

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

Back

Any non-zero number raised to the power of zero is equal to 1.

Front

How do you express a negative exponent as a positive exponent?

Back

A negative exponent can be expressed as the reciprocal of the base raised to the opposite positive exponent.

Front

What is the simplified form of \( \frac{1}{a^{-n}} \)?

Back

The simplified form is \( a^n \).

Front

How do you simplify the expression \( \frac{a^m}{a^n} \)?

Back

You can simplify it to \( a^{m-n} \).

Front

What is the result of \( 2^{-3} \)?

Back

The result is \( \frac{1}{2^3} = \frac{1}{8} \).

Front

If \( c = 3 \), what is the value of \( c^{-2} \)?

Back

The value is \( \frac{1}{c^2} = \frac{1}{3^2} = \frac{1}{9} \).

Front

What is the equivalent expression for \( 5^{-1} \)?

Back

The equivalent expression is \( \frac{1}{5} \).

Front

How do you rewrite \( 3^{-4} \) using positive exponents?

Back

It can be rewritten as \( \frac{1}{3^4} \).

Front

What is the relationship between \( a^{-m} \) and \( \frac{1}{a^m} \)?

Back

They are equivalent; \( a^{-m} = \frac{1}{a^m} \).

Front

What is the simplified form of \( \frac{a^5}{a^2} \)?

Back

The simplified form is \( a^{5-2} = a^3 \).