Laws of Exponents

Front

What is the definition of a negative exponent?

Back

A negative exponent indicates that the base should be taken as the reciprocal and raised to the opposite positive exponent.

Front

How do you convert 9^-3 to a positive exponent?

Back

9^-3 = 1/9^3.

Front

What is the quotient rule for exponents?

Back

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

Front

Simplify: x^5 ÷ x^2

Back

x^3.

Front

What is any non-zero number raised to the power of zero?

Back

Any non-zero number raised to the power of zero equals 1.

Front

Evaluate: (5^3 * x^2 * y^4)^0

Back

1.

Front

What is the value of 2654^0?

Back

1.

Front

What is the value of 5^0?

Back

1.

Front

If a^m * a^n = a^(m+n), what is this property called?

Back

This property is called the product rule for exponents.

Front

Evaluate using the quotient rule: 3^12 ÷ 3^8

Back

3^(12-8) = 3^4.