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Exponential Form Flashcards

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@HandsomeVariable

• 5⁵ (correct)
• 5⁴

• 5⁵
• 5⁴
• (correct)

81

What is the exponential form of 3x3x3x3?

<p>3⁴</p> Signup and view all the answers

What is the exponential form of -3x-3x-3x-3?

<p>(-3)⁴</p> Signup and view all the answers

What is 6x6x6 in exponential form?

<p>6³</p> Signup and view all the answers

What is 8x8x8x8 in exponential form?

<p>8⁴</p> Signup and view all the answers

What is -8x-8x-8x-8 in exponential form?

<p>-8⁴</p> Signup and view all the answers

What is the exponential form of -6x-6x-6?

<p>(-6)³</p> Signup and view all the answers

What is the exponential form of -8*-8*-8*-8?

<p>(-8)⁴</p> Signup and view all the answers

What is (-5)x(-5)x(-5) in exponential form?

<p>(-5)³</p> Signup and view all the answers

What is the exponential form of ½x½?

<p>(½)²</p> Signup and view all the answers

What is the exponential form of -½x-½?

<p>(-½)²</p> Signup and view all the answers

What is -1x¼x¼x¼ in exponential form?

<p>-(¼)³</p> Signup and view all the answers

What is -¼x-¼x-¼ in exponential form?

<p>(-¼)³</p> Signup and view all the answers

What is ¼x¼x¼ in exponential form?

<p>¼³</p> Signup and view all the answers

What is 4x4x4 in exponential form?

<p>4³</p> Signup and view all the answers

Study Notes

Exponential Form Basics

• Understanding expanded form (e.g., repeated multiplication) is key to converting to exponential notation.
• An exponential expression comprises a base and an exponent (e.g., (a^n)), indicating how many times to multiply the base by itself.

Key Conversions

• (5 \times 5 \times 5 \times 5 \times 5) is expressed as (5^5), representing five multiplied by itself five times.
• (5 \times 5 \times 5) is written as (5^3), denoting three multiplications of five.
• (3 \times 3 \times 3 \times 3) evaluates to 81, which is (3^4) in exponential form.

Negative Bases

• (-3 \times -3 \times -3 \times -3) is expressed as ((-3)^4), indicating four multiplications of negative three.
• (-8 \times -8 \times -8 \times -8) is written as (-8^4), showing four instances of negative eight.

Fractional Exponents

• ( \frac{1}{2} \times \frac{1}{2} ) translates to ( \left(\frac{1}{2}\right)^2), meaning one-half multiplied by itself.
• (-\frac{1}{2} \times -\frac{1}{2}) can be expressed as ( -\left(\frac{1}{2}\right)^2), indicating the square of a negative half.

Summary of Specific Values

• (4 \times 4 \times 4) is represented as (4^3).
• (-1 \times \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4}) evaluates to (-\left(\frac{1}{4}\right)^3).
• (\frac{1}{4} \times \frac{1}{4} \times \frac{1}{4}) is equivalent to (\left(\frac{1}{4}\right)^3).

Concepts of Cubes and Powers

• "Cubed" refers to raising a number to the power of three (e.g., "six cubed" refers to (6^3)).
• "To the power of four" represents multiplying the number by itself four times (e.g., "eight to the power of four" is (8^4)).

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Description

This quiz helps you convert expanded forms of numbers into exponential notation. Each card presents a multiplication expression followed by its equivalent exponential form. Test your understanding of exponents and improve your skills in mathematics.

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