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 a negative exponent, such as x^-n?

Back

1/xⁿ

Front

What is the result of 5⁰?

Back

1

Front

What happens when you multiply two numbers with the same base and different exponents?

Back

You add the exponents.

Front

What is the result of dividing two numbers with the same base and different exponents?

Back

You subtract the exponents.

Front

How do you simplify an expression like (x^-a)/(y^-b)?

Back

You can rewrite it as (y^b)/(x^a).

Front

What is the simplified form of x^-3y^-2?

Back

1/(x³y²)

Front

If a^-m is in the denominator, how can it be simplified?

Back

It can be rewritten as a^m in the numerator.

Front

What is the relationship between negative exponents and reciprocals?

Back

A negative exponent indicates the reciprocal of the base raised to the positive exponent.

Front

How do you simplify the expression (x^-5y^-2)/(a^-3b^-3)?

Back

It simplifies to (a³b³)/(x⁵y²).