Order of Operations with Exponents

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 common acronym is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does the term 'exponent' mean in mathematics?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 2³, 2 is the base and 3 is the exponent, meaning 2 is multiplied by itself 3 times (2 x 2 x 2).

Front

How do you evaluate an expression with exponents?

Back

To evaluate an expression with exponents, first calculate the exponent, then follow the order of operations to complete the rest of the expression.

Front

What is the result of 5³?

Back

5³ equals 125, as it is calculated by multiplying 5 by itself three times (5 x 5 x 5).

Front

What is the base in the expression 3⁴?

Back

The base in the expression 3⁴ is 3.

Front

What is the first step in solving the expression 3 + 4 x 6 - 4?

Back

The first step is to perform the multiplication (4 x 6) before addition and subtraction.

Front

What does it mean to cube a number?

Back

To cube a number means to raise it to the power of three, which involves multiplying the number by itself twice. For example, 4 cubed (4³) is 4 x 4 x 4 = 64.

Front

Is 2⁵ the same as 2 x 5?

Back

No, 2⁵ means 2 multiplied by itself 5 times (2 x 2 x 2 x 2 x 2), which equals 32, not 10.

Front

What is the value of 9³?

Back

9³ equals 729, as it is calculated by multiplying 9 by itself three times (9 x 9 x 9).

Front

What is the difference between multiplication and exponentiation?

Back

Multiplication is repeated addition of the same number, while exponentiation is repeated multiplication of the same number. For example, 3 x 3 = 9 (multiplication) and 3² = 3 x 3 = 9 (exponentiation).