Exponential notation and expanded form

Front

What is exponential notation?

Back

Exponential notation is a way to express repeated multiplication of the same number, using a base and an exponent. For example, 2^3 means 2 multiplied by itself 3 times (2 x 2 x 2).

Front

How do you convert a multiplication expression into exponential notation?

Back

To convert a multiplication expression into exponential notation, identify the base (the number being multiplied) and the exponent (the number of times it is multiplied). For example, 1/2 x 1/2 x 1/2 can be written as (1/2)^3.

Front

What is the expanded form of an exponential expression?

Back

The expanded form of an exponential expression shows the multiplication of the base by itself as many times as indicated by the exponent. For example, 3^2 in expanded form is 3 x 3.

Front

What is the value of 12^2?

Back

The value of 12^2 is 144, as it represents 12 multiplied by itself (12 x 12).

Front

What is the result of (-1)^4?

Back

The result of (-1)^4 is 1, because multiplying -1 by itself an even number of times results in a positive value.

Front

What is the value of 3^2?

Back

The value of 3^2 is 9, as it represents 3 multiplied by itself (3 x 3).

Front

Who is correct: Sarah says 3^2 = 9, Jack says 3^2 = 6?

Back

Sarah is correct because 3^2 equals 9, which is the result of 3 multiplied by itself.

Front

What is the value of 1^5?

Back

The value of 1^5 is 1, as any number raised to the power of 0 is 1.

Front

What does the exponent represent in exponential notation?

Back

The exponent represents the number of times the base is multiplied by itself.

Front

How do you evaluate an expression with a negative base raised to an even exponent?

Back

When a negative base is raised to an even exponent, the result is positive because the negative signs cancel out.