AnswersAG Q1 Keystone Algebra 1 Block 26-27 DDiamondEvaluating Expressions with Exponents

Evaluating Expressions with Exponents Answers

10 verified answers2 views
1
Free Preview

Which rules of exponents will be used to evaluate this expression? Select three options.

Question illustration
A
fractional exponent
B
quotient of powers
C
power of a power
D
power of a product
E
negative exponent
F
zero exponent
2
Free Preview

Which is the simplified form of the expression ?

Question illustration
A
StartFraction 1 Over q Superscript 30 Baseline EndFraction
Option A
B
q Superscript 30
Option B
C
StartFraction p Superscript 12 Baseline Over q Superscript 60 Baseline EndFraction
Option C
D
p Superscript 12 Baseline q Superscript 60
Option D
3

Which is the simplified form of the expression ?

Question illustration
A
StartFraction 1 Over x Superscript 4 Baseline y EndFraction
Option A
B
StartFraction 1 Over x Superscript 21 Baseline y Superscript 12 Baseline EndFraction
Option B
C
x cubed y Superscript 12
Option C
D
x cubed y Superscript 24
Option D
4

Which shows how to find the value of this expression when and ?

Question illustration
A
StartFraction 3 squared (negative 2) Superscript 6 Baseline Over 5 Superscript 4 EndFraction
Option A
B
StartFraction 3 (negative 2) Superscript 6 Baseline Over 5 Superscript 4 EndFraction
Option B
C
StartFraction 3 squared (5 Superscript 6 Baseline) Over (negative 2) Superscript negative 4 Baseline EndFraction
Option C
D
StartFraction 3 Over (2) Superscript 6 Baseline 5 Superscript 4 Baseline EndFraction
Option D
5

Which is the value of this expression when and ?

Question illustration
A
–8
B
Negative StartFraction 1 Over 8 EndFraction
Option B
C
one-eighth
Option C
D
8
6

Fatima evaluated the expression , when and . Her work is shown below. What was Fatima’s error?

Question illustration
A
She subtracted the exponents incorrectly when simplifying the expression.
B
She substituted the wrong values for the variables.
C
She did not correctly follow the order of operations by applying the exponent to .
Option C
D
She found an incorrect value for since the value should be negative.
Option D
7

Which is the simplified form of the expression ?

Question illustration
A
StartFraction 1 Over 6 Superscript 42 Baseline EndFraction
Option A
B
StartFraction 1 Over 6 Superscript 19 Baseline EndFraction
Option B
C
6 Superscript 6
Option C
D
6 Superscript 30
Option D
8

Which is the value of this expression when and ?

Question illustration
A
StartFraction 4 Over 9 EndFraction
Option A
B
StartFraction 27 Over 8 EndFraction
Option B
C
StartFraction 243 Over 32 EndFraction
Option C
D
StartFraction 729 Over 64 EndFraction
Option D
10

Selena and Drake are evaluating the expression , when .Selena’s WorkDrake’s WorkWho is correct and why?

Question illustration
A
Selena is incorrect because she should have substituted the values for the variables first, and then simplifed.
B
Selena is correct because she simplified correctly and then evaluated correctly after substituting the values for the variables.
C
Drake is incorrect because he should have simplified first, before substituting the values for the variables.
D
Drake is correct because he substituted the values for the variables first, and simplified correctly.

Did you find these answers helpful?