Laws of Exponents

Front

What happens to the exponents when multiplying two expressions with the same base?

Back

You add the exponents.

Front

What is the expanded form of (2ab)^3?

Back

2^3 a^3 b^3

Front

What is the expression for 3^-4 in positive exponent form?

Back

1/(3^4)

Front

How do you simplify (x^2y)^5?

Back

x^10 y^5

Front

How do you simplify the expression xy^-7?

Back

x/(y^7)

Front

What is the rule for dividing expressions with the same base?

Back

You subtract the exponents.

Front

What is the result of (x^m)(x^n)?

Back

x^(m+n) (add the exponents)

Front

What is the result of (x^m)/(x^n)?

Back

x^(m-n) (subtract the exponents)

Front

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

Back

1

Front

What is the rule for raising a power to another power, such as (x^m)^n?

Back

You multiply the exponents: x^(m*n).