Zero and Negative Exponents

Front

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

Back

1

Front

How do you simplify an expression with a negative exponent, such as x^-n?

Back

x^-n = 1/xⁿ

Front

What is the result of simplifying the expression a^m / aⁿ?

Back

a^m-n

Front

What does the expression x⁰ equal for any non-zero x?

Back

1

Front

How do you handle a negative exponent in a fraction, such as 1/x^-n?

Back

1/x^-n = xⁿ

Front

What is the simplified form of 7b³ / a⁵?

Back

7b³ / a⁵ (already simplified)

Front

What is the simplified form of 4 / a³b²?

Back

4a^-3b^-2

Front

What is the result of simplifying 3x^-2?

Back

3/x²

Front

What happens to the base when you raise it to a negative exponent?

Back

The base is taken as the reciprocal and the exponent is made positive.

Front

What is the rule for multiplying powers with the same base, such as a^m * aⁿ?

Back

a^m+n