Exponent Rules

Front

What is the result of (2⁸)² using the exponent rules?

Back

2¹⁶

Front

Using the POWER RULE, simplify (3xy)².

Back

3²x²y²

Front

How do you simplify x⁻⁶?

Back

1/x⁶

Front

When multiplying two powers with the same base, what do you do with the exponents?

Back

Add the exponents.

Front

When raising a power to a power, what do you do with the exponents?

Back

Multiply the exponents.

Front

What is the POWER RULE in exponentiation?

Back

The POWER RULE states that (a^m)^n = a^(m*n).

Front

What is the product of powers rule?

Back

The product of powers rule states that a^m * a^n = a^(m+n).

Front

What is the quotient of powers rule?

Back

The quotient of powers rule states that a^m / a^n = a^(m-n).

Front

How do you simplify a negative exponent, such as a⁻⁵?

Back

a⁻⁵ = 1/a⁵.

Front

What happens when you raise a product to a power, such as (ab)²?

Back

(ab)² = a²b².