Exponent Rules

Front

What is the Quotient Rule for exponents?

Back

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

Tags

CCSS.8.EE.A.1

Front

Evaluate: 6^30 / 6^22

Back

6^8 (using the Quotient Rule: 30 - 22 = 8).

Tags

CCSS.8.EE.A.1

Front

What is the Product Rule for exponents?

Back

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

Tags

CCSS.8.EE.A.1

Front

Simplify: 6^2 * 6^3

Back

6^5 (using the Product Rule: 2 + 3 = 5).

Tags

CCSS.8.EE.A.1

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).

Tags

CCSS.8.EE.A.1

Front

Simplify: (x^2)^3

Back

x^6 (using the Power of a Power Rule: 2 * 3 = 6).

Tags

CCSS.8.EE.A.1

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

Tags

CCSS.8.EE.A.1

Front

Simplify: (2x)^3

Back

8x^3 (using the Power of a Product Rule: 2^3 * x^3 = 8x^3).

Front

What is the Zero Exponent Rule?

Back

The Zero Exponent Rule states that any non-zero base raised to the power of zero equals one: a^0 = 1 (where a ≠ 0).

Tags

CCSS.8.EE.A.1

Front

Evaluate: 5^0

Back

1 (using the Zero Exponent Rule).

Tags

CCSS.8.EE.A.1