Powers of Monomials

Front

What happens to the exponents when we raise a power to a power according to exponent rules?

Back

We multiply the exponents.

Front

What is the result of (5^2)^3?

Back

5^6

Front

What is the simplified form of (r^4)^-6?

Back

1/r^{24}

Front

How do you simplify (5a^{-1}b^{-4})^{-3}?

Back

a^3b^{12}/125

Front

What is the result of (2a^5b^{-2})^{-4}?

Back

b^8/(16a^{20})

Front

What is the general rule for multiplying monomials with the same base?

Back

Add the exponents.

Front

How do you simplify a negative exponent, such as a^{-n}?

Back

It becomes 1/a^n.

Front

What is the result of (x^m)^n?

Back

x^{m*n}.

Front

What is the rule for dividing monomials with the same base?

Back

Subtract the exponents.

Front

What does it mean to have a base raised to the power of zero?

Back

Any non-zero base raised to the power of zero equals 1.