Exponent Rule Quick Practice

Front

What is the value of any non-zero number raised to the power of 0?

Back

1

Front

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

Back

You subtract the exponents: \( a^{m-n} \).

Front

What is the result of multiplying two powers with the same base, such as \( a^m \cdot a^n \)?

Back

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

Front

What is the result of raising a power to another power, such as \( (a^m)^n \)?

Back

You multiply the exponents: \( a^{m \cdot n} \).

Front

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

Back

You can write it as \( \frac{a}{b}^m \).

Front

What is the simplified form of \( (xy)^n \)?

Back

It is equal to \( x^n y^n \).

Front

What happens when you divide two powers with the same base, such as \( \frac{a^m}{a^n} \)?

Back

You subtract the exponents: \( a^{m-n} \).

Front

What is the simplified form of \( (ab)^m \)?

Back

It is equal to \( a^m b^m \).

Front

What is the value of \( 0^0 \)?

Back

It is considered indeterminate in mathematics.

Front

What is the exponent rule for multiplying powers with different bases but the same exponent?

Back

You can write it as \( a^n \cdot b^n = (ab)^n \).