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Vilka [71]
3 years ago
10

What is the cube root of 512m^12n15

Mathematics
2 answers:
Julli [10]3 years ago
3 0
∛(512m¹²n¹⁵) = (∛512)*(∛m¹²)(∛n¹⁵) 

\sqrt[3]{m^{12}} =m^{ \frac{12}{3}} =m^{4}
\\ \\  \sqrt[3]{n^{15}} = n^{ \frac{15}{3} } =n^{5}

Answer:  8m^{4}n^{5}.
Anestetic [448]3 years ago
3 0

Answer: The correct answer is 8m⁴n⁵

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The sum of two numbers is 54. The smaller number is 18 less than the larger number. What are the numbers?
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Answer:

The larger number is 37.  This makes the smaller number 56 - 37, which is 19.

Step-by-step explanation:

 

The first step is to pick variables for the two numbers.  Lets call the smaller number x and the larger number y.

Since the sum of the two numbers is 56, this means that x + y = 56.  Let's call this equation 1 and save it for later.

 

The next sentence says:

The smaller number is 18 less than the larger number.  So, 18 less than the larger number would be y - 18.  So, the smaller number must be equal to this, so

 

x = y - 18

 

Replace the x in equation 1 with y - 18

 

x + y = 56

(y-18) + y = 56   (replace x with y-18)

2y - 18 = 56        (add the y's)

2y = 74               (add 18 to both sides)

y = 37                 (divide both sides by 2)

 

So, the larger number is 37.  This makes the smaller number 56 - 37, which is 19.

 

Hope this helps!!  :)

8 0
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Solve log x = 2.<br><br> 100<br><br> 1,000<br><br> 2<br><br> 20
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keeping in mind that when the logarithm base is omitted, the base 10 is assumed.

\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log(x)=2\implies \log_{10}(x)=2\implies 10^2=x\implies 100=x

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Step-by-step explanation:

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