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).

Front

Simplify the expression: c^7 / c^14

Back

1/c^7

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).

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.

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.

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.

Front

Evaluate: a^8 / a^5

Back

a^3

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)).