Zero and Negative Exponents

Question 1

Which is the simplified form of ?

Revolt · Accepted Answer

StartFraction 1 Over x Superscript 12 EndFraction

Question 2

The table shows a pattern of exponents.Powers of 5Value1252551What is the pattern as the exponents decrease?

Revolt · Accepted Answer

divide the previous value by 5

Question 3

Tasha used the pattern in the table to find the value of .Powers of 4Value1641She used these steps.Step 1Find a pattern in the table.The pattern is to divide the previous value by 4 when the exponent decreases by 1.Step 2Find the value of .Step 3Find the value of .Step 4Rewrite the value for .In which step did Tasha make the first error?

Revolt · Accepted Answer

Step 4

Question 4

Mr.Walden wrote the expression . He asked his students to write an equivalent expression of .Four students wrote these expressions.IsaacRosaBruceBriannaWhich student wrote the correct equation that can be simplified to be equivalent to Mr. Walden’s equation?

Revolt · Accepted Answer

Brianna

Question 5

Tyler simplified the expression . His procedure is shown below.What is Tyler’s error?

Revolt · Accepted Answer

Both powers should be in the denominator with positive exponents.

Question 6

Ramesh examined the pattern in the table.Powers of 7Value2,4013434971Ramesh says that based on the pattern . Which statement explains whether Ramesh is correct?

Revolt · Accepted Answer

Ramesh is not correct because as the exponents decrease, the previous value is divided by 7, so .

Question 7

What is the value of ?

Revolt · Accepted Answer

StartFraction 256 Over 81 EndFraction

Question 8

What is the value of ?

Question 9

Simone examined the pattern in the table.Powers of 10Value101Based on the pattern, which power of 10 would have a value of ?

Revolt · Accepted Answer

10 Superscript negative 6

Question 10

If , what is the value of x?

Revolt · Accepted Answer

Negative 243

Zero and Negative Exponents Answers

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