Law of Exponents

Front

What is the Law of Exponents?

Back

The Law of Exponents refers to the rules that govern how to handle mathematical operations involving powers or exponents.

Front

What does a negative exponent indicate?

Back

A negative exponent indicates that the base should be taken as the reciprocal. For example, x^-n = 1/x^n.

Front

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

Back

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

Front

Simplify: (x^a)(x^b)

Back

x^(a+b) - When multiplying like bases, add the exponents.

Front

Simplify: (x^a)/(x^b)

Back

x^(a-b) - When dividing like bases, subtract the exponents.

Front

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

Back

1/x^6 - Apply the power of a power rule: multiply the exponents.

Front

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

Back

9^-3 = 1/9^3 - Take the reciprocal to make the exponent positive.

Front

Simplify: (x^3)(x^2)

Back

x^5 - Add the exponents when multiplying like bases.

Front

What is the product of (-4r^5) and (2r^8)?

Back

-8r^13 - Multiply the coefficients and add the exponents.

Front

What is the value of 13^0?

Back

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