Exponents, Order of Operations, Prime Factorization

Front

What is an exponent?

Back

An exponent is a number that shows how many times to multiply a base number 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 order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed. The acronym PEMDAS helps remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What is prime factorization?

Back

Prime factorization is the process of breaking down a number into its prime factors, which are the prime numbers that multiply together to give the original number.

Front

Calculate: 3 x 8 - (9 - 7)^3

Back

16

Front

What is the prime factorization of 84?

Back

2^2 x 3 x 7

Front

Which operation do you perform first in (12 + 10) ÷ 10 · 14 - 6?

Back

Addition

Front

What is the prime factorization of 220?

Back

2^2 x 5 x 11

Front

What is 5^4?

Back

625

Front

What does the term 'base' mean in exponents?

Back

The base is the number that is being multiplied in an exponent. For example, in 3^4, 3 is the base.

Front

What is the result of 2^3 x 2^2?

Back

2^5 (because you add the exponents when multiplying like bases).