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3 years ago

What is the value of 5 to the power of 4 over 5 to the power of 6?

2 answers:

Rudiy273 years ago

8 0

$\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} 
\qquad \qquad
\sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\
-------------------------------\\\\
\left( 5^{\frac{4}{5}} \right)^6\implies 5^{\frac{4}{5}\cdot 6}\implies 5^{\frac{24}{5}}\implies \sqrt[5]{5^{24}}~~
\begin{cases}
5^{24}=5^{5+5+5+5+4}\\
\qquad 5^5\cdot 5^5\cdot 5^5\cdot 5^5\cdot 5^4\\
\qquad (5^4)^5 5^4
\end{cases}
\\\\\\
\sqrt[5]{(5^4)^5 \cdot 5^4}\implies (5^4)\sqrt[5]{5^4}\implies 625\sqrt[5]{625}$

lubasha [3.4K]3 years ago

7 0

If the question is 5^4 divided by 5^6 the asnwer is .04

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At a pet store, 67% of customers get a leash for their dog. Only 32% of customers get a leash for their dog and get their dog a

olchik [2.2K]

Answer:

The probability of a customer getting a leash for their dog along with a treat for their doctors is 1/2.09

Step-by-step explanation:

This is example of conditional probability.

Let A represents the % of customer getting a leash for their dogs

Let B represents the % customer getting a leash + treat for their dogs

As we know-

P(A|B)=P(A and B)/P(B)

So the probability is

P(A|B)= 0.32/0.67 = 1/2.09

3 0

3 years ago

Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.

Fed [463]

It is the square root of 2

6 0

2 years ago

F ind the volume under the paraboloid z=9(x2+y2) above the triangle on xy-plane enclosed by the lines x=0, y=2, y=x

olga nikolaevna [1]

Answer:

The answer is 48 units³

Step-by-step explanation:

If we simply draw out the region on the x-y plane enclosed between these lines we realize that,if we evaluate the integral the limits all in all cannot be constants since one side of the triangular region is slanted whose equation is given by y=x. So the one of the limit of one of the integrals in the double integral we need to evaluate must be a variable. We choose x part of the integral to have a variable limit, we could well have chosen y's limits as non constant, but it wouldn't make any difference. So the double integral we need to evaluate is given by,

$V=\int\limits^2_0 {} \, \int\limits^{x=y}_0 {z} \, dx dy\\V=\int\limits^2_0 {} \, \int\limits^{x=y}_0 {9(x^{2}+y^{2})} \, dx dy$

Please note that the order of integration is very important here.We cannot evaluate an integral with variable limit last, we have to evaluate it first.after performing the elementary x integral we get,

$V=9\int\limits^2_0 {4y^{3}/3} \, dy$

After performing the elementary y integral we obtain the desired volume as below,

$V= 48 units^{3}$

4 0

3 years ago

Divide. 2/7 divided by 1/3

Allushta [10]

Answer:

The answer to the question provided is $\frac{6}{7}$ .

7 0

3 years ago

How do I do number 14?

luda_lava [24]

Answer:

1/4^3 = 1/64

Step-by-step explanation:

you just basically multiply 1/4 for the first 3 ones, you multiply $\frac{1}{4} x\frac{1}{4} x\frac{1}{4} = \frac{1}{64}$ . then you do the same but twice and then once.

3 0

3 years ago

Read 2 more answers