Damian - Division Properties of Exponents

Front

What is the Quotient of Powers Rule?

Back

The Quotient of Powers Rule states that when dividing two powers with the same base, you subtract the exponents: a^m / a^n = a^(m-n).

Front

Evaluate: 9^9 / 9^4

Back

9^5

Front

What does a negative exponent represent?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^-n = 1/a^n.

Front

Evaluate: g^-7

Back

1/g^7

Front

Evaluate: 9^-3

Back

1/9^3

Front

What is the Product of Powers Rule?

Back

The Product of Powers Rule states that when multiplying two powers with the same base, you add the exponents: a^m * a^n = a^(m+n).

Front

Evaluate: 2^3 * 2^2

Back

2^5

Front

What is the Power of a Power Rule?

Back

The Power of a Power Rule states that when raising a power to another power, you multiply the exponents: (a^m)^n = a^(m*n).

Front

Evaluate: (x^2)^3

Back

x^6

Front

What is the Power of a Product Rule?

Back

The Power of a Product Rule states that when raising a product to a power, you distribute the exponent to each factor: (ab)^n = a^n * b^n.