Exponents, Prime Factorization, and Order of Operations

What is an exponent?

• 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 \times 2 \times 2 = 8@@.

• A mathematical operation that adds a number to itself a certain number of times.

• A symbol used to denote the square root of a number.

• A number that indicates the position of a digit in a number.

What is the prime factorization of 81?

• @@3^3@@

• @@3^4@@

• @@9^2@@

• @@27^1@@

What is the result of @@ (3 + 2)^2 - 7 @@?

• 15

• 16

• 18

• 20

What is the prime factorization of 56?

• @@2^3 imes 7@@

• @@2^4 imes 3@@

• @@2^2 imes 14@@

• @@4 imes 14@@

What is @@4^2@@?

• 12

• 14

• 16

• 18

Solve: @@ (23 - 11) \times 2 + (9 + 7)^2 @@

• 262

• 256

• 270

• 250

What is the prime factorization of 30?

• @@2 imes 3 imes 5@@

• @@3 imes 10@@

• @@5 imes 6@@

• @@2 imes 15@@

What is the result of @@ (3 + 2)^2 - 4 \times 2 @@?

• 15

• 16

• 17

• 18

What is the value of @@5^0@@?

• 0

• 1

• 5

• 5^0

What is the result of @@ (10 - 2) \times 3 + 4 @@?

• 24

• 26

• 28

• 30