division properties of exponents

Front

What is the Quotient of Powers Rule?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

Evaluate: x^5 / x^2

Back

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

Front

What is the Zero Exponent Property?

Back

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

Front

Evaluate: (-3)^0

Back

1.

Front

What happens when you divide a number by itself?

Back

Any non-zero number divided by itself equals one: a/a = 1 (where a ≠ 0).

Front

Evaluate: 2^5 / 2^3

Back

2^(5-3) = 2^2 = 4.

Front

What is the result of dividing powers with different bases?

Back

You cannot simplify directly; you must evaluate each base separately.

Front

Evaluate: a^7 / a^4

Back

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

Front

What is the Product of Powers Rule?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

Evaluate: 3^4 / 3^4

Back

3^(4-4) = 3^0 = 1.