Exponential Functions and Expanded Form

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent.

Front

What does it mean to write a number in expanded form?

Back

Writing a number in expanded form means expressing it as the sum of its parts, showing the value of each digit. For example, 345 = 300 + 40 + 5.

Front

What is the value of 4^3?

Back

64

Front

Is 3 x 3 x 3 x 3 x 3 written in Standard form or Expanded form?

Back

Expanded form

Front

What is (2^3) x (2^4) in exponential form?

Back

2^7

Front

How is 2^7 written in expanded form?

Back

2 x 2 x 2 x 2 x 2 x 2 x 2

Front

What is the value of 7^4?

Back

2401

Front

What is the base in an exponential expression?

Back

The base is the number that is raised to a power in an exponential expression, such as 'b' in b^x.

Front

What is the exponent in an exponential expression?

Back

The exponent indicates how many times the base is multiplied by itself, such as 'x' in b^x.

Front

What is the difference between standard form and expanded form?

Back

Standard form is a way of writing numbers using digits, while expanded form shows the value of each digit in a number.