Law of Exponents

Front

What is the Law of Exponents?

Back

The Law of Exponents refers to the rules that govern the operations of powers or exponents in mathematics, including multiplication, division, and raising powers to powers.

Front

What is the value of x^0?

Back

For any non-zero number x, x^0 = 1.

Front

What is the Product Law of Exponents?

Back

The Product Law states that when multiplying two powers with the same base, you add the exponents: a^m * a^n = a^(m+n).

Front

What is the Quotient Law of Exponents?

Back

The Quotient Law states that when dividing two powers with the same base, you subtract the exponents: a^m / a^n = a^(m-n).

Front

What is the Power of a Power Law?

Back

The Power of a Power Law states that when raising a power to another power, you multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the value of 2^-3?

Back

2^-3 = 1/2^3 = 1/8.

Front

Simplify: (x^4)^-2

Back

(x^4)^-2 = x^(4*-2) = x^-8 = 1/x^8.

Front

Simplify: (5^2)^3

Back

(5^2)^3 = 5^(2*3) = 5^6.

Front

Simplify: 5^2 * 5^1

Back

5^2 * 5^1 = 5^(2+1) = 5^3.

Front

What is the value of 3^0?

Back

3^0 = 1.