Laws of Exponents

Front

What is the definition of the Laws of Exponents?

Back

The Laws of Exponents are rules that describe how to handle mathematical operations involving powers or exponents.

Front

What is the value of any non-zero number raised to the power of 0?

Back

1

Front

Simplify: x^a * x^b

Back

x^(a+b) (Product of Powers Rule)

Front

Simplify: x^a / x^b

Back

x^(a-b) (Quotient of Powers Rule)

Front

Simplify: (x^a)^b

Back

x^(a*b) (Power of a Power Rule)

Front

What is the value of x^0?

Back

1, for any non-zero x.

Front

Simplify: (xy)^a

Back

x^a * y^a (Power of a Product Rule)

Front

Simplify: (x/y)^a

Back

x^a / y^a (Power of a Quotient Rule)

Front

What happens when you raise a negative number to an even exponent?

Back

The result is positive.

Front

What happens when you raise a negative number to an odd exponent?

Back

The result is negative.