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

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

What is the Power of a Product Rule in exponents?

Back

When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

Tags

CCSS.8.EE.A.1

Front

What is the Power of a Quotient Rule in exponents?

Back

When raising a quotient to a power, apply the exponent to both the numerator and denominator: (a/b)^n = a^n / b^n.

Tags

CCSS.8.EE.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 of the base raised to the opposite positive exponent: a^(-n) = 1/a^n.

Tags

CCSS.8.EE.A.1

Front

Simplify: x^3 * x^4

Back

x^(3+4) = x^7.

Tags

CCSS.8.EE.A.1

Front

Simplify: (2^3)^2

Back

2^(3*2) = 2^6.

Tags

CCSS.8.EE.A.1

Front

Simplify: (3x^2)(4x^3)

Back

12x^(2+3) = 12x^5.

Tags

CCSS.HSA.APR.A.1

Front

Simplify: (5/2)^3

Back

5^3 / 2^3 = 125/8.

Tags

CCSS.8.EE.A.1