Maths stuff

Mr.Walden wrote the expression StartFraction p Superscript negative 5 Over q Superscript 0 EndFraction. He asked his students to write an equivalent expression of StartFraction p Superscript negative 5 Over q Superscript 0 EndFractionin simplified form. Four students wrote these expressions. Isaac Rosa Bruce Brianna StartFraction q Superscript 0 Over p Superscript negative 5 EndFraction p Superscript negative 5 + q Superscript 0 p Superscript 5 Baseline q Superscript 0 StartFraction 1 Over p Superscript 5 Baseline q Superscript 0 EndFraction Which student is correct?

D

The power 9 squared is equivalent to 81. What is the value of 9 Superscript negative 2?

C

Based on the pattern in the table, what is the value of a? Powers of 2 Value 2 Superscript negative 1 One-half 2 Superscript negative 2 One-fourth 2 Superscript negative 3 one-eighth 2 Superscript negative 4 StartFraction 1 Over 16 EndFraction 2 Superscript negative 5 StartFraction 1 Over 32 EndFraction 2 Superscript negative 6 a

D

What is the value of (Negative 14 Superscript 0 Baseline) Superscript negative 2?

D

Simone examined the pattern in the table. Powers of 10 Value 10 Superscript 1 10 10 Superscript 0 1 10 Superscript negative 1 StartFraction 1 Over 10 EndFraction 10 Superscript negative 2 StartFraction 1 Over 100 EndFraction 10 Superscript negative 3 StartFraction 1 Over 1000 EndFraction 10 Superscript negative 4 StartFraction 1 Over 10,000 EndFraction Based on the pattern, which power of 10 would have a value of StartFraction 1 Over 1,000,000 EndFraction?

A

Lola says these two expressions have the same value. Expression A Expression B Left-bracket (StartFraction a Over b EndFraction) Superscript negative 4 Baseline Right-bracket Superscript 0 Left-bracket (StartFraction a Over b EndFraction) Superscript 0 Baseline Right-bracket Superscript negative 4 Which explains whether Lola is correct?

B

Tyler simplified the expression x Superscript negative 3 Baseline y Superscript negative 9. His procedure is shown below. x Superscript negative 3 Baseline y Superscript negative 9 = StartFraction 1 Over x cubed EndFraction times StartFraction 1 Over y Superscript negative 9 EndFraction = StartFraction 1 Over x cubed y Superscript negative 9 EndFraction What is Tyler's error?

B

What is the value of (Negative three-fourths) Superscript negative 4?

B

Which statement describes what these four powers have in common? 4 Superscript 0 (negative 2) Superscript 0 (one-third) Superscript 0

B

Tori examined the pattern of exponents in the table. Powers of 6 Value 6 cubed 216 6 squared 36 6 Superscript 1 6 6 Superscript 0 1 6 Superscript negative 1 a 6 Superscript negative 2 b Based on the pattern, which statements are true? Check all that apply.

B,C,E