Understanding Exponential Expressions

The video tutorial explains how to compare two mathematical expressions: '5 squared plus 3 to the fifth' and '3 to the fifth squared'. It provides a step-by-step calculation of each expression, demonstrating that 5 squared plus 3 to the fifth equals 268, while 3 to the fifth squared results in a much larger number, 59,049. The tutorial concludes that the second expression is significantly larger than the first.

What are the two expressions being compared in the video?

• 5 squared plus 3 to the fifth, and 3 to the fifth squared

• 5 to the fifth minus 3 squared, and 3 squared minus 5

• 5 to the fifth plus 3 squared, and 3 squared to the fifth

• 5 squared times 3 to the fifth, and 3 to the fifth plus 5

Tags

CCSS.6.EE.A.1

What is the value of 5 squared?

• 25

• 20

• 30

• 15

Tags

CCSS.6.EE.A.1

How is 3 to the fifth calculated?

• 3 times 3 times 3

• 3 times 3 times 3 times 3 times 3

• 3 times 3 times 3 times 3

• 3 times 3

Tags

CCSS.6.EE.A.1

What is the result of 3 to the fifth?

• 81

• 243

• 125

• 27

Tags

CCSS.6.EE.A.1

What is the sum of 5 squared and 3 to the fifth?

• 268

• 125

• 243

• 100

Tags

CCSS.6.EE.A.1

Why is 3 to the fifth squared expected to be larger than the first expression?

• Because 243 is a larger number than 268

• Because squaring 243 results in a much larger number

• Because 3 to the fifth is smaller than 5 squared

• Because 3 to the fifth squared is actually smaller

Tags

CCSS.6.EE.A.1

What is the first step in calculating 243 squared?

• Multiply 243 by 5

• Multiply 243 by 3

• Multiply 243 by 2

• Multiply 243 by itself

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CCSS.6.EE.A.1

What is the result of 243 squared?

• 6,561

• 24,300

• 59,049

• 49,000

Tags

CCSS.4.NBT.A.2

What is the final conclusion about the two expressions?

• The second expression is larger

• Neither expression can be calculated

• The first expression is larger

• Both expressions are equal

Tags

CCSS.6.EE.A.1

What is the significance of the number 59,049 in the video?

• It is the sum of 5 squared and 3 to the fifth

• It is the result of 243 squared

• It is the result of 3 to the fifth

• It is the result of 5 squared

Tags

CCSS.6.EE.A.1