Untitled Flashcards Set

What does the Product of Powers Rule state?

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

What is the formula for the Product of Powers Rule?

The formula states that when multiplying two powers with the same base, you add the exponents: a^m × a^n = a^(m+n).

What does the Quotient of Powers Rule indicate?

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

What is the formula for the Quotient of Powers Rule?

a^m / a^n = a^(m-n) (where a ≠ 0)

What does the Power of a Power Rule describe?

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

What is the formula for the Power of a Power Rule?

(a^m)^n = a^(m*n)

What is the Power of a Product Rule?

When raising a product to a power, raise each factor in the product to the power.

What is the formula for the Power of a Product Rule?

(ab)^n = a^n * b^n

What does the Power of a Quotient Rule state?

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

What is the formula for the Power of a Quotient Rule?

(a/b)^n = a^n / b^n (where b ≠ 0)

What does the Zero Exponent Rule say?

Any non-zero base raised to the zero power is equal to one.

What is the formula for the Zero Exponent Rule?

a^0 = 1 (where a ≠ 0)

What does the Negative Exponent Rule indicate?

A negative exponent represents the reciprocal of the base raised to the opposite positive exponent.

What is the formula for the Negative Exponent Rule?

a^(-n) = 1/a^n (where a ≠ 0)