Laws of exponents

Front

What is the product of powers rule in 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: 3^2 × 3^33

Back

3^35

Tags

CCSS.8.EE.A.1

Front

What is the power of a power rule in exponents?

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: 4^3 ⋅ 4^5

Back

4^8

Tags

CCSS.8.EE.A.1

Front

What is the quotient rule in 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: n^2 ⋅ n^4 ⋅ n^5

Back

n^11

Tags

CCSS.8.EE.A.1

Front

What happens when you raise a product to a power?

Back

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

Tags

CCSS.8.EE.A.1

Front

Simplify: 5x^3 ⋅ 2x^2

Back

10x^5

Tags

CCSS.HSA.APR.A.1

Front

What is the zero exponent rule?

Back

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

What is the negative exponent rule?

Back

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

Tags

CCSS.8.EE.A.1