Exponent Rules (Simple Laws of Exponents)

Front

Anything raised to a power of zero is always:

Back

1

Front

Evaluate: (3ab)²

Back

9a²b²

Front

When an exponent is raised to another exponent, we _______ the exponents. For example: (x^a)ⁱ

Back

multiply

Front

Evaluate: (5³x²)⁰

Back

1

Front

When we divide the expressions, we _______ the exponents. For example: \(\frac{x^a}{x^b}\)

Back

subtract

Front

The product of powers rule states that when multiplying two expressions with the same base, we _______ the exponents.

Back

add

Front

The power of a product rule states that when raising a product to a power, we _______ the exponents of each factor.

Back

distribute

Front

The power of a power rule states that when raising an exponent to another exponent, we _______ the exponents.

Back

multiply

Front

Evaluate: (2x²y)³

Back

8x⁶y³

Front

Evaluate: (x²)⁴

Back

x⁸