Exponent Rules

Front

What happens to the exponents when we raise a power to a power?

Back

We multiply the exponents.

Front

What do we do to the exponents when dividing two powers with the same base?

Back

We subtract the exponents.

Front

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

Back

1.

Front

What is the result of raising a base to a negative exponent?

Back

The result is the reciprocal of the base raised to the positive exponent.

Front

If a base is raised to a fraction, what does the numerator and denominator represent?

Back

The numerator represents the power, and the denominator represents the root.

Front

What is the product of two powers with the same base?

Back

We add the exponents.

Front

How do you simplify (a^m)(a^n)?

Back

You add the exponents: a^(m+n).

Front

What is the result of (x^0)?

Back

1, for any non-zero x.

Front

What is the rule for multiplying powers with the same exponent?

Back

You multiply the bases and keep the exponent the same.

Front

What does (ab)^n equal?

Back

a^n * b^n.