Zero and Negative Exponents

Question 1

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 2

Which is the simplified form of ?

Revolt · Accepted Answer

StartFraction p cubed Over n Superscript 6 EndFraction

Question 3

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 4

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 5

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 6

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 7

What is the value of ?

Revolt · Accepted Answer

1

Question 8

What is the pattern in the values as the exponents increase?Powers of 2Value1

Revolt · Accepted Answer

multiply the previous value by 2

Question 9

Lola says these two expressions have the same value.Expression AExpression BWhich explains whether Lola is correct?

Revolt · Accepted Answer

Lola is correct because each expression has a value of 1.

Question 10

What is the value of ?

Revolt · Accepted Answer

1

Zero and Negative Exponents Answers

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