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Dominik [7]
4 years ago
13

Nadine and Calvin are simplifying the expression (StartFraction r Superscript negative 5 Baseline s Superscript negative 3 Basel

ine Over r Superscript 8 Baseline s Superscript negative 2 Baseline EndFraction) Superscript negative 4. Nadine claims the first step to simplify the expression is to raise the numerator and denominator to the power of 4 to get StartFraction r Superscript negative 20 Baseline s Superscript negative 12 Baseline Over r Superscript 32 Baseline s Superscript 8 Baseline EndFraction. Calvin claims the first step to simplify the expression is to apply the quotient of powers to get (r Superscript negative 13 Baseline s Superscript negative 1 Baseline) Superscript negative 4. Who is correct and why? Nadine is incorrect because she should have applied the quotient of powers rule first. Nadine is correct because she correctly applied the power of a product rule. Calvin is incorrect because he should have applied the power of a product rule first. Calvin is correct because he correctly applied the quotient of powers rule.
Mathematics
2 answers:
Paha777 [63]4 years ago
5 0

Answer:

The answer is D or

Calvin is correct because he correctly applied the quotient of powers rule.

Step-by-step explanation:

just took the quiz:)

yKpoI14uk [10]4 years ago
3 0

Answer:

Calvin is correct because he correctly applied the quotient of powers rule.

Step-by-step explanation:

I took the quiz :)

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Express the fraction in simplest form.
blagie [28]
4/16 in simplest form:

First, we need to find the greatest common factor (GCF) of 4 and 16. Why? We have to find the number that we are going to be dividing the numerator and denominator by to get the simplest form of the fraction. Let's list the factors for 4 and 16:

Factors of 4: 1, 2, 4
Factors of 16: 1, 2, 4, 8, 16

Out of the two sets of factors, which ones are the common ones? The common factors between the two are 1, 2, and 4. Since we are looking for the GREATEST common factor, we have to look at the highest number out of 1, 2, and 4. The GCF is 4, since 4 is higher than 1 and 2.

Second, we now have a number that we are going to divide the numerator and denominator by, which is 4. The numerator is the top number of the fraction (4) and the denominator is the bottom number of the fraction (16).Let's divide now.

4 \div 4 = 1 \\ 16 \div 4 = 4

Third, we now have the simplified fraction. (1) is our new numerator, and (4) is our new denominator. This makes the new simplified fraction 1/4. So, your answer is C.

Answer in fraction form: \fbox {1/4}
Answer in decimal form: \fbox {0.25}
4 0
3 years ago
Read 2 more answers
Answer pls…………………………..
Gnesinka [82]

Answer:

10/27

Step-by-step explanation:

3^x = 10

We want to find 3^(x-3)

Rewriting

We know that a^(b-c) = a^b * a^ (-c)

3^x * (3^-3)

We know that 3^-3 = 1/3^3

3^x * 1/27

10 * 1/27

10/27

6 0
3 years ago
What will $82,000 grow to be in 11 years if it is invested today at 8% and the interest rate is compounded monthly
Mariana [72]

Answer:

Well the answer would be 865,920. Hope this helped! this is the way i learned it so if its wrong i'm super sorry!

Step-by-step explanation:

I = p x r x t

I = 82,000 x 8 x 11yrs

BUT WAIT! this is MONTHLY, so convert 11 x 12 = 132 and then move 8 back 2 spaces = 0.08 so the correct equation is

I = 82,000 x 0.08 x 132

I = 865,920

7 0
2 years ago
What Is the.value of 5^3i^9
gregori [183]
5^3=5\cdot5\cdot5=125\\\\i=\sqrt{-1}\to i^2=-1\\\\i^9=i^8+1=i^8\cdot i^1=-1\cdot i=-i\\\\5^3i^9=125(-i)=\boxed{-125i}
4 0
4 years ago
Help me with this please its algebra 1a
Inga [223]

Answer:

answer choice A

Step-by-step explanation:

you make two equations.

4 0
3 years ago
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