Laws of Exponents

Front

What is the quotient rule for exponents?

Back

When dividing two expressions with the same base, subtract the exponent of the denominator from the exponent of the numerator.

Front

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

Back

1

Front

How do you simplify an expression with a negative exponent?

Back

A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent.

Front

What is the product rule for exponents?

Back

When multiplying two expressions with the same base, add the exponents.

Front

What is the power of a power rule in exponents?

Back

When raising a power to another power, multiply the exponents.

Front

Evaluate: (3²)(3⁴)

Back

3⁶ (using the product rule).

Front

Evaluate: (x⁵y³)²

Back

x¹⁰y⁶ (using the power of a power rule).

Front

What happens when you raise a product to a power?

Back

You raise each factor in the product to that power.

Front

What is the value of (-1/2)⁰?

Back

1 (any non-zero number raised to the power of zero is 1).

Front

What is the result of 5^-5?

Back

1/5⁵ (using the negative exponent rule).