Exponents and Prime Factorization

Front

What is an exponent?

Back

An exponent is a number that shows how many times to multiply the base by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 x 2 x 2.

Front

What is the prime factorization of a number?

Back

Prime factorization is the process of expressing a number as the product of its prime factors. For example, the prime factorization of 12 is 2^2 x 3.

Front

Which is greater: 2^7 or 7^2?

Back

2^7 is greater than 7^2.

Front

What is the expanded notation of 3^3 x 5 x 7^2?

Back

The expanded notation is 3 x 3 x 3 x 5 x 7 x 7.

Front

What is the prime factorization of 120?

Back

The prime factorization of 120 is 2^3 x 3 x 5.

Front

Using a Factor Tree, find the prime factorization of 75 in exponential form.

Back

The prime factorization of 75 is 3 x 5^2.

Front

What is a prime number?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. For example, 53 is a prime number.

Front

What is the value of 3^2?

Back

The value of 3^2 is 9.

Front

How do you multiply numbers with exponents?

Back

To multiply numbers with the same base, add the exponents. For example, a^m x a^n = a^(m+n).

Front

What is the value of 5^0?

Back

The value of 5^0 is 1.