AnswersAlgebra IZero and Negative Exponents

Zero and Negative Exponents — Quiz Answers

10 verified answers
3

Ramesh examined the pattern in the table. Powers of 7 Value 7 to the 4th power 2 comma 401 7 cubed 343 7 squared 49 7 to the 1th power 7 7 to the 0 power 1 7 inverse 1 seventh Ramesh says that based on the pattern 7 to the negative 5 power is equal to negative 16 comma 807 Which statement explains whether Ramesh is correct?

A
Ramesh is correct because 7 to the negative 5 power is equivalent to negative 7 times negative 7 times negative 7 times negative 7 times negative 7 , which has the same value as negative 16 comma 807 .
B
Ramesh is not correct because 7 to the negative 5 power is equivalent to the fraction with numerator 1 and denominator 7 to the 5th power , which has the same value as the fraction with numerator 1 and denominator 7 to the 4th power divided by 7 is equal to the fraction with numerator 1 and denominator 7 cubed is equal to 1 over 343 .
C
Ramesh is correct because as the exponents decrease, the previous value is divided by 7 , so 7 to the negative 5 power is equal to 1 divided by 7 divided by 7 divided by 7 divided by 7 divided by 7 is equal to negative 16 comma 807 .
D
Ramesh is not correct because as the exponents decrease, the previous value is divided by 7 , so 7 to the negative 5 power is equal to 1 divided by 7 divided by 7 divided by 7 divided by 7 divided by 7 is equal to the fraction with numerator 1 and denominator 16 comma 807 .
5

What is the value of open paren negative 3 fourths close paren to the negative 4 power ?

A
negative 81 over 256
B
negative 256 over 81
C
81 over 256
D
256 over 81
6

Which statement describes what these four powers have in common? 4 to the 0 power negative 2 to the 0 power 1 third to the 0 power 9 to the 0 power

A
All the powers have a value of 1 because the exponent is zero.
B
All the powers have a fractional value because the exponent is zero.
C
All the powers have a value of 0 because the exponent is zero.
D
All the powers have a value of negative 1 because the exponent is zero.
9

Which is the simplified form of x to the negative 12 power ?

A
the fraction with numerator 1 and denominator x to the 12th power
B
x to the 12th power
C
negative x to the 12th power
D
negative the fraction with numerator 1 and denominator x to the 12th power

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