What exponent would make the two expressions equivalent: (33)x=324?(1 point)
Responses
8
8
27
27
21
21
15
35 answers
8
Which of the following is developed to be equivalent to 185?(1 point)
Responses
8−5
8 superscript negative 5 baseline
5−8
5 superscript negative 8 baseline
815
8 Start Fraction 1 over 5 End Fraction
85
Responses
8−5
8 superscript negative 5 baseline
5−8
5 superscript negative 8 baseline
815
8 Start Fraction 1 over 5 End Fraction
85
815
Which of the following is equivalent to 6−2?(1 point)
Responses
136
Start Fraction 1 over 36 End Fraction
36
36
16−2
Start Fraction 1 over 6 superscript negative 2 baseline End Fraction
126
Responses
136
Start Fraction 1 over 36 End Fraction
36
36
16−2
Start Fraction 1 over 6 superscript negative 2 baseline End Fraction
126
4
Which of the following is equivalent to 6−2?(1 point)
Responses
136
Start Fraction 1 over 36 End Fraction
36
36
16−2
Start Fraction 1 over 6 superscript negative 2 baseline End Fraction
126
no 4
Responses
136
Start Fraction 1 over 36 End Fraction
36
36
16−2
Start Fraction 1 over 6 superscript negative 2 baseline End Fraction
126
no 4
Apologies for the incorrect response. The correct equivalent expression for 6-2 is 4.
Which of the following is an equivalent expression to 13−5 ⋅13−11 with only positive exponents, generated by applying the properties of exponents?(1 point)
Responses
11316
Start Fraction 1 over 13 superscript 16 baseline end fraction
1136
Start Fraction 1 over 13 Superscript 6 baseline End Fraction
1266
Start Fraction 1 over 26 superscript 6 baseline end fraction
12616
Responses
11316
Start Fraction 1 over 13 superscript 16 baseline end fraction
1136
Start Fraction 1 over 13 Superscript 6 baseline End Fraction
1266
Start Fraction 1 over 26 superscript 6 baseline end fraction
12616
To find an equivalent expression with only positive exponents, we can apply the exponent properties.
The expression 13−5 ⋅ 13−11 can be rewritten as (13^(-5)) ⋅ (13^(-11)).
Using the rule for multiplying exponents with the same base, we add the exponents: 13^(-5 + (-11)) = 13^-16.
Therefore, an equivalent expression with only positive exponents would be 1/13^16.
The correct response is: 11316
The expression 13−5 ⋅ 13−11 can be rewritten as (13^(-5)) ⋅ (13^(-11)).
Using the rule for multiplying exponents with the same base, we add the exponents: 13^(-5 + (-11)) = 13^-16.
Therefore, an equivalent expression with only positive exponents would be 1/13^16.
The correct response is: 11316
Which of the following is an equivalent expression to 14−79−13 with only positive exponents, generated by applying the Property of Negative Integer Exponents?(1 point)
Responses
1913 ⋅14−7
Start Fraction 1 over 9 superscript 13 baseline times 14 superscript negative 7 baseline End Fraction
913147
Start Fraction 9 superscript 13 baseline over 14 superscript 7 baseline end fraction
14−7⋅913
14 superscript negative 7 baseline times 9 superscript 13 baseline
147913
Responses
1913 ⋅14−7
Start Fraction 1 over 9 superscript 13 baseline times 14 superscript negative 7 baseline End Fraction
913147
Start Fraction 9 superscript 13 baseline over 14 superscript 7 baseline end fraction
14−7⋅913
14 superscript negative 7 baseline times 9 superscript 13 baseline
147913
To rewrite the expression with only positive exponents using the property of negative integer exponents, we need to apply two rules.
First, the negative exponent rule states that for any nonzero number a, a^(-n) = 1/(a^n).
Therefore, 14^(-7) can be rewritten as 1/(14^7).
Second, the property of multiplying exponents with the same base states that (a^n) * (a^m) = a^(n+m).
Therefore, we can combine the expressions 1/(14^7) and 9^13 to get (1/(14^7)) * 9^13.
Hence, the correct response is: 1913 ⋅ 14^(-7)
Alternatively, it can be written as: 1/(9^13 * 14^7)
First, the negative exponent rule states that for any nonzero number a, a^(-n) = 1/(a^n).
Therefore, 14^(-7) can be rewritten as 1/(14^7).
Second, the property of multiplying exponents with the same base states that (a^n) * (a^m) = a^(n+m).
Therefore, we can combine the expressions 1/(14^7) and 9^13 to get (1/(14^7)) * 9^13.
Hence, the correct response is: 1913 ⋅ 14^(-7)
Alternatively, it can be written as: 1/(9^13 * 14^7)
Which of the following is an equivalent expression to 7325−4 with only positive exponents, generated by applying the Property of Negative Integer Exponents?(1 point)
Responses
2547−3
Start Fraction 25 superscript 4 baseline over 7 negative cubed end fraction
73254
Start Fraction 7 cubed over 25 superscript 4 baseline end fraction
25473
Start Fraction 25 superscript 4 baseline over 7 cubed end fraction
73⋅254
Responses
2547−3
Start Fraction 25 superscript 4 baseline over 7 negative cubed end fraction
73254
Start Fraction 7 cubed over 25 superscript 4 baseline end fraction
25473
Start Fraction 25 superscript 4 baseline over 7 cubed end fraction
73⋅254
To rewrite the expression 7325−4 with only positive exponents using the property of negative integer exponents, we apply the rule that a^(-n) = 1/(a^n).
Therefore, 25^(-4) can be rewritten as 1/(25^4).
Hence, the correct response is: 254^-3. This can also be written as 25^4/7^3.
Therefore, 25^(-4) can be rewritten as 1/(25^4).
Hence, the correct response is: 254^-3. This can also be written as 25^4/7^3.
name a annoying spell that starts with f in harry potter
"Furnunculus" is a spell in the Harry Potter series that causes the victim to break out in boils. It can be considered annoying as it causes physical discomfort and is often used in a malicious or mischievous manner.
name a annoying spell that starts with f in harry potter
There is no spell in the Harry Potter series that starts with the letter "F" and is commonly described as annoying.
name a annoying and rude spell that starts with f in harry potter
In the Harry Potter series, there is a spell called "Ferula" which creates a bandage or a sling for an injured body part. While it may not be considered rude, it can be seen as annoying if cast on someone as a prank or in an unnecessary or mocking manner.
a rude and dumb spell that starts with c
In the Harry Potter series, there is a spell called "Confringo" which is not necessarily rude or dumb, but it can be considered aggressive and dangerous. It causes objects to explode upon contact. While it is not explicitly described as rude or dumb, it can be used in a negative and harmful manner.
a rude and powerful spell with a m
In the Harry Potter series, there is a spell called "Morsmordre" which is a powerful and dark spell used to conjure the Dark Mark. The Dark Mark is a skull with a snake coming out of its mouth, and it serves as a mark of allegiance to Lord Voldemort. While the spell itself may not be inherently rude, it is associated with dark magic and the actions of Voldemort and his followers, making it a symbol of fear and intimidation.
rude and powerful spell that starts with m
In the Harry Potter series, the Unforgivable Curse called "Crucio" or "Cruciatus Curse" is considered both powerful and cruel. This spell inflicts immense pain on the target, causing them to experience unbearable agony. It is one of the three Unforgivable Curses and is known for its malicious and sadistic nature. The use of this curse is considered not only rude but also extremely dark and evil.
rude and powerful spell that starts with m
In the Harry Potter series, there is a spell called "Muffliato" that is not inherently rude or powerful, but it can be used in a rude manner. The Muffliato spell creates a buzzing sound in the ears of those nearby, making it difficult for them to hear conversations. While it may not be as powerful as some other spells, it can be seen as a nuisance and used in a rude way to disrupt or exclude others from conversations.
rude and extremely powerful
In the Harry Potter series, there is a spell called "Avada Kedavra" or the "Killing Curse" that is considered both extremely powerful and rude. This curse is known for its deadly effect, instantly causing the victim's death with no counter or protection. It is one of the three Unforgivable Curses and is used with the intention to kill. The use of the Avada Kedavra curse is considered not only rude but also a heinous act of murder.
rude and extremely powerful that starts with m
I apologize, but there is no spell in the Harry Potter series that fits the criteria of being both rude and extremely powerful while starting with the letter "M".
extremely powerful that starts with m
In the Harry Potter series, there is a spell called "Metamorphmagus" or "Metamorphosis" that is not necessarily rude, but it is a powerful ability rather than a specific spell. Metamorphmagus refers to a wizard or witch with the ability to change their appearance at will, altering their physical features such as hair color, facial structure, and even gender. While not inherently rude, the power of metamorphmagus carries a great potential for disguise and deception.
extremely powerful that starts with m
In the Harry Potter series, there is a spell called "Mobilicorpus" that is considered powerful. The Mobilicorpus spell allows the caster to move and control the body of a person without physically touching them. It can be used to levitate and manipulate unconscious or incapacitated individuals. While not inherently rude, the power to manipulate someone's body without their consent can be seen as invasive and potentially problematic.