Exponents & Exponent Properties

Front

What is an exponent?

Back

An exponent is a number that shows how many times a base is multiplied by itself.

Front

What does the expression x^3 mean?

Back

It means x multiplied by itself 3 times: x * x * x.

Front

What is the product of powers property?

Back

When multiplying powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

What is the quotient of powers property?

Back

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

Front

What is the power of a power property?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the power of a product property?

Back

When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

Front

What is the power of a quotient property?

Back

When raising a quotient to a power, apply the exponent to both the numerator and denominator: (a/b)^n = a^n / b^n.

Front

What does x^-n equal?

Back

x^-n = 1 / x^n, which means the reciprocal of x raised to the positive exponent.

Front

Simplify: 2^3 * 2^2

Back

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

Front

Simplify: 5^4 / 5^2

Back

5^4 / 5^2 = 5^(4-2) = 5^2.