All categories

3 years ago

Simplify (5^2 x 7^4)^10

Mathematics

1 answer:

Alex777 [14]3 years ago

5 0

Answer:

A. 5^20 x 7^40

Step-by-step explanation:

The exponent outside applies to each factor inside parentheses. The rules of exponents say ...

(a^b)^c = a^(b·c)

so, you have ...

$(5^2\times 7^4)^{10}=5^{2\cdot 10}\times 7^{4\cdot 10}=5^{20}\times 7^{40}$

You might be interested in

NEED URGENT HELP

AnnyKZ [126]

Answer:

32.5

Step-by-step explanation:

If CED is 65, then AEB is 65, therefore we can calculate that CEA is 115 because 180 - 65 = 115. Then we do 180 - 115 = 65 which is the sum of angles ACE and CAE so 65 / 2 = 32.5 which is CAE.

Hope this helped!

8 0

3 years ago

a side if the triangle below has been extended to form an exterior angle of 130° . find the value of x

11111nata11111 [884]

Step-by-step explanation:

So, you have to get angle under 130° angle:

180°-130°= 50°

And you get X

x=180°-(113°+50°)

x=180°- 163°

x=17°

8 0

3 years ago

How does adding the log together automatically mean that it is a factorial?

andreyandreev [35.5K]

Answer: The answer is given below.

Step-by-step explanation: We are given an equality involving logarithm and we are to show the implication of L.H.S. to R.H.S.

We will be using the following two properties of logarithm:

$(i)~\log_ba=\dfrac{1}{\log_ab},\\\\\\(ii)~log_ab+\log_ac=\log_a(bc).$

The proof is as follows:

$L.H.S.\\\\\\=\dfrac{1}{\log_2N}+\dfrac{1}{\log_3N}+\dfrac{1}{\log_4N}+\cdots+\dfrac{1}{\log_{100}N}\\\\\\=\log_N2+\logN3+\log_N4+\cdots+\log_N100\\\\=\log_N\{2.3.4...100\}\\\\=\log_N\{1.2.3.4...100\}\\\\=\log_N{100!}\\\\=\dfrac{1}{\log_{100!}N}\\\\=R.H.S.$

Hence proved.

6 0

3 years ago

What is k+3 3/4 = 5 2/3 - 1 1/3

zhenek [66]

K+3 3/4=5 2/3-1 1/3
k+3 3/4=4 1/3
lets find the lcm first then multiply both sides by it but first change it to improper fraction
LCM is 12

[k+15/4]=[13/3]12
12k+45=52
12k=7
k=7/12

4 0

3 years ago

Using desmos

VMariaS [17]

The attached graph represents the location of the pH values 0 and 1

<h3>How to plot the points?</h3>

The given parameters are:

pH value 0 = (1, 0)

pH value 1 = (0.1, 1)

This means that we plot a point at the coordinate (1, 0) and another point at the coordinate (0.1, 1).

See attachment for the graph