Algebraic Expressions: Exponents Part 1

Questions and Answers

What is the equivalent exponential expression for 'five to the third power'?

5^3

What is the value of 5^3?

125

What is the exponential expression for three sixes?

6^3

What is the exponential expression for four sevens?

7^4 Signup and view all the answers

What is the exponential expression for two x's?

x^2 Signup and view all the answers

What is the exponential expression for three '3a's?

(3a)^3 Signup and view all the answers

What is the exponential expression for five r's?

r^5 Signup and view all the answers

What is the exponential expression for three fives and four b's?

5^3b^4 Signup and view all the answers

Rewrite the expression 10, 10, a, a, b in exponential form.

10^2a^2b Signup and view all the answers

Rewrite the expression 4, 4, 4, a, b, a, b in exponential form.

4^3a^2b^2 Signup and view all the answers

What is the expanded form of 5^2?

5x5 Signup and view all the answers

What is the expanded form of (-2) ^3?

(-2)(-2)(-2) Signup and view all the answers

What is the expanded form of 10^4?

(10)(10)(10)(10) Signup and view all the answers

What is the expanded form of (-a) ^3?

(-a)(-a)(-a) Signup and view all the answers

Study Notes

Exponential Expressions and Evaluations

"Five to the third power" is expressed as 5^3, which evaluates to 125 (5 x 5 x 5).
"Six to the third power" is expressed as 6^3.
"Seven to the fourth power" is expressed as 7^4.

Writing Exponents

The variable x squared is written as x^2.
The product of 3a taken three times is represented as (3a)^3.
"r" repeated five times is expressed as r^5.

Combining Base and Exponents

"Five repeated three times and b repeated four times" is written as 5^3b^4.
For the expression combining 10, a, and b, it is expressed as 10^2a^2b.

Expanded Forms

"Four repeated three times and a, b repeated twice" is written as 4^3a^2b^2.
The number 5 squared can be represented in expanded form as 5 x 5.
The expanded form of (-2) cubed is shown as (-2)(-2)(-2).
The number 10 raised to the fourth power can be expressed as (10)(10)(10)(10).
The expression for (-a) cubed is represented as (-a)(-a)(-a).

Importance of Parentheses

Parentheses are crucial to indicate multiplication when expressing expanded forms.
Clarifying negative bases requires parentheses for accurate representation in exponents.

Description

This quiz focuses on understanding and evaluating exponential expressions, particularly five to the third power. You will engage with flashcards that guide you through creating equivalent expressions and their evaluations.