division properties of exponents

Front

What is the Quotient of Powers Rule?

Back

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

Front

Simplify: (x^5) / (x^2)

Back

x^(5-2) = x^3.

Front

What is the Zero Exponent Property?

Back

The Zero Exponent Property states that any non-zero number raised to the power of zero equals one: a^0 = 1 (where a ≠ 0).

Front

Evaluate: (-3)^0

Back

1.

Front

Simplify: (a^7) / (a^3)

Back

a^(7-3) = a^4.

Front

What happens when you divide two powers with different bases?

Back

You cannot simplify them using the Quotient of Powers Rule; you must evaluate each power separately.

Front

Evaluate: (b^10) / (b^10)

Back

b^(10-10) = b^0 = 1.

Front

What is the result of dividing a number by itself?

Back

Any non-zero number divided by itself equals one.

Front

Simplify: (2^5) / (2^2)

Back

2^(5-2) = 2^3 = 8.

Front

What is the definition 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).