Exponent Rules

Front

What is the product of powers rule in exponentiation?

Back

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

Front

What is the quotient of powers rule in exponentiation?

Back

When dividing two powers with the same base, subtract the exponents.

Front

What is the power of a power rule in exponentiation?

Back

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

Front

What is the power of a product rule in exponentiation?

Back

When raising a product to a power, distribute the exponent to each factor.

Front

What is the power of a quotient rule in exponentiation?

Back

When raising a quotient to a power, distribute the exponent to the numerator and denominator.

Front

What happens to the exponent when a base is raised to the zero power?

Back

Any non-zero base raised to the zero power equals one.

Front

What happens to the exponent when a base is raised to the first power?

Back

Any base raised to the first power equals the base itself.

Front

How do you simplify (2x^5)(6x^4)?

Back

Multiply coefficients (2*6=12) and add exponents (5+4=9), resulting in 12x^9.

Front

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

Back

125x^6y^6, calculated by raising the coefficient to the power (5^3=125) and multiplying the exponents (2*3=6).

Front

What is the significance of the base in exponentiation?

Back

The base is the number that is being multiplied by itself, and the exponent indicates how many times to multiply the base.