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3 years ago

Which expression is equivalent to -32 to 3/5 power

Mathematics

1 answer:

levacccp [35]3 years ago

6 0

<u>Answer:</u>

<u>Step-by-step explanation:</u>

We are given the following expression and we are to find the simplest form of this expression:

$- 3 2 ^ { \frac { 3 } { 5 } }$

First of all, we will factor the coefficient:

$3 2 = 2 ^ 5$

Rewriting it as:

$- ( 2 ^ 5 ) ^ { \frac { 3 } { 5 } }$

Applying the exponent rule $(a^b)^c = a^{bc}$ to get:

$-2^{5.\frac{3}{5}}=-2^3$

$-2^3=-8$

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Please help.. the third and fourth choice are the same as the first two but positive

LenaWriter [7]

Answer:

Your answer is going to be one of the 1/3 I'm pretty sure it is the positive 1/3 because the line is not decreasing.

Step-by-step explanation:

4 0

3 years ago

Hello can you please help me posted picture of question

jarptica [38.1K]

4x^6+2x^5-2x+8+2x^8+4x+2=
2x^8+4x^6+2x^5+(4-2)x+10=
2x^8+4x^6+2x^5+2x+10

Answer: Option B: 2x^8+4x^6+2x^5+2x+10

7 0

4 years ago

What term is 1/1024 in the geometric sequence,-1,1/4,-1/6..?

Trava [24]

Answer:

$\large\boxed{\text{sixth term is equal to}\ \dfrac{1}{1024}}$

Step-by-step explanation:

The explicit formula for a geometric sequence:

$a_n=a_1r^{n-1}$

$a_n$ - n-th term

$a_1$ - first term

$r$ - common ratio

$r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_n}{a_{n-1}}$

We have

$a_1=-1,\ a_2=\dfrac{1}{4},\ a_3=-\dfrac{1}{6},\ ...$

The common ratio:

$r=\dfrac{\frac{1}{4}}{-1}=-\dfrac{1}{4}\\\\r=\dfrac{-\frac{1}{6}}{\frac{1}{4}}=-\dfrac{1}{6}\cdot\dfrac{4}{1}=-\dfrac{2}{3}\neq-\dfrac{1}{4}$

<h2>It's not a geometric sequence.</h2>

If $a_3=-\dfrac{1}{16}$ then the common ratio is $r=\dfrac{-\frac{1}{16}}{\frac{1}{4}}=-\dfrac{1}{16}\cdot\dfrac{4}{1}=-\dfrac{1}{4}$

Put to the explicit formula:

$a_n=-1\left(-\dfrac{1}{4}\right)^{n-1}$

Put $a_n=\dfrac{1}{1024}$ and solve for <em>n </em>:

$-1\left(-\dfrac{1}{4}\right)^{n-1}=\dfrac{1}{1024}\qquad\text{use}\ a^n:a^m=a^{n-m}\\\\-\left(-\dfrac{1}{4}\right)^n:\left(-\dfrac{1}{4}\right)^1=\dfrac{1}{1024}\\\\-\left(-\dfrac{1}{4}\right)^n\cdot(-4)=\dfrac{1}{1024}\\\\(4)\left(-\dfrac{1}{4}\right)^n=\dfrac{1}{1024}\qquad\text{divide both sides by 4}\ \text{/multiply both sides by}\ \dfrac{1}{4}/\\\\\left(-\dfrac{1}{4}\right)^n=\dfrac{1}{4096}\\\\\dfrac{(-1)^n}{4^n}=\dfrac{1}{4^6}\qquad n\ \text{must be even number. Therefore}\ (-1)^n=1$

$\dfrac{1}{4^n}=\dfrac{1}{4^6}\iff n=6$

5 0

3 years ago

Find an equivalent fractions for each given fraction 60/12

evablogger [386]

Very easy to do this.

60/12 is your fraction.

Multiply numerator and denominator by the same number.

60*2/12*2 = 120/24

120/24 = 5

You can also simplify.

60/12 = 5

12/12 = 1

5/1 = 5

60/12 = 5

8 0

3 years ago

Read 2 more answers

(2/5,-2/5),(-7/8,-3/5)

Misha Larkins [42]

Answer: (-19/80, -1/2)

Step By Step Explanation:

First you want to do 2/5 - 7/8. Once you get -19/40, you want to divide it by 2. After doing this step, you will get -19/80. Next, you want to do the same thing with the other one. -2/5 -3/5 or 2/5+3/5 except the answer will be negative. Now you get -1/2. Therefore, the answer is (-19/80, -1/2). Sorry if my explanation is trashy.

3 0

4 years ago