Laws of Exponents

Front

What is the Quotient Rule of Exponents?

Back

When dividing two powers with the same base, subtract the exponents: a^m ÷ a^n = a^(m-n).

Tags

CCSS.8.EE.A.1

Front

Simplify: 4^6 ÷ 4^5

Back

4^1 or 4.

Tags

CCSS.8.EE.A.1

Front

What is the Product Rule of Exponents?

Back

When multiplying two powers with the same base, add the exponents: a^m × a^n = a^(m+n).

Tags

CCSS.8.EE.A.1

Front

Simplify: 4^3 ⋅ 4^5

Back

4^8.

Tags

CCSS.8.EE.A.1

Front

What is the Power of a Power Rule?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Tags

CCSS.8.EE.A.1

Front

Simplify: (15^9) ÷ (15^3)

Back

15^6.

Tags

CCSS.8.EE.A.1

Front

What is the Zero Exponent Rule?

Back

Any non-zero number raised to the power of zero equals one: a^0 = 1.

Tags

CCSS.8.EE.A.1

Front

What is the Negative Exponent Rule?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/(a^n).

Tags

CCSS.8.EE.A.1

Front

Simplify: 8^5 ÷ 8^2

Back

8^3.

Tags

CCSS.8.EE.A.1

Front

What is the definition of an exponent?

Back

An exponent indicates how many times to multiply a number by itself.

Tags

CCSS.6.EE.A.1