Exponent Rules

Front

What is the product rule of exponents?

Back

The product rule states that when multiplying two powers with the same base, you add the exponents: x^a ⋅ x^b = x^(a+b).

Tags

CCSS.8.EE.A.1

Front

What is the quotient rule of exponents?

Back

The quotient rule states that when dividing two powers with the same base, you subtract the exponents: x^a / x^b = x^(a-b).

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: (x^a)^b = x^(a*b).

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: x^0 = 1 (for x ≠ 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: x^(-a) = 1/(x^a).

Tags

CCSS.8.EE.A.1

Front

What is the value of 8^0?

Back

8^0 = 1.

Tags

CCSS.8.EE.A.1

Front

What does (-2)³ ⋅ (-2)⁶ simplify to?

Back

(-2)³ ⋅ (-2)⁶ = (-2)^(3+6) = (-2)⁹.

Tags

CCSS.8.EE.A.1

Front

What is the significance of the base in exponentiation?

Back

The base is the number that is being multiplied by itself, and the exponent indicates how many times the base is used as a factor.

Tags

CCSS.6.EE.A.1

Front

How do you simplify the expression x^5 / x^2?

Back

Using the quotient rule, x^5 / x^2 = x^(5-2) = x^3.

Tags

CCSS.8.EE.A.1

Front

What is the result of (x^3)^2?

Back

Using the power of a power rule, (x^3)^2 = x^(3*2) = x^6.

Tags

CCSS.HSA.APR.A.1