C6 Flashcard Exponents Quotient, Zero & Negative Rules

Front

What is the Quotient Rule in exponents?

Back

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

Tags

CCSS.8.EE.A.1

Front

Simplify the expression: c^7 / c^14

Back

1/c^7

Tags

CCSS.8.EE.A.1

Front

What happens to an exponent when it is zero?

Back

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

Tags

CCSS.8.EE.A.1

Front

Simplify the expression: (x^3y) ÷ (xy^5)

Back

x^2/y^4

Front

What is the result of a negative exponent?

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 the expression: (30y^12) / (15y^2)

Back

2y^10

Front

If a^m / a^n = a^x, what is x?

Back

x = m - n.

Tags

CCSS.8.EE.A.1

Front

What does it mean to simplify an expression with exponents?

Back

To simplify means to reduce the expression to its simplest form, often by applying exponent rules.

Tags

CCSS.8.EE.A.1

Front

Evaluate: a^8 / a^5

Back

a^3

Tags

CCSS.8.EE.A.1

Front

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

Back

x^6 (using the power of a power rule: (a^m)^n = a^(m*n)).

Tags

CCSS.8.EE.A.1