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alisha [4.7K]
3 years ago
9

Choose the correct simplification of x to the 12th power times z to the 11th power all over x to the 2nd power times z to the 4t

h power. x10z7 x14z15 1 over x to the 10th power times z to the 7th power 1 over x to the 14th power times z to the 15th power
Mathematics
1 answer:
Umnica [9.8K]3 years ago
4 0

Answer:

<h3>The option A) x^{10}z^7 is correct answer.</h3><h3>The correct simplification for the given expression \frac{x^{12}\times z^{11}}{x^2\times z^4} is x^{10}z^7</h3>

Step-by-step explanation:

Given expression is x to the 12th power times z to the 11th power all over x to the 2nd power times z to the 4th power.

The given expression can be written as \frac{x^{12}\times z^{11}}{x^2\times z^4}

<h3>To choose the correct simplification of the given expression :</h3>

Now we have to simplify the given expression as below

\frac{x^{12}\times z^{11}}{x^2\times z^4}

=x^{12}\times z^{11}(x^{-2}\times z^{-4})   ( by using the identity \frac{1}{a^m}=a^{-m} )

=(x^{12}.x^{-2})\times (z^{11}.z^{-4})

=x^{12-2}\times z^{11-4} ( by using the identity a^m.a^n=a^{m+n} )

=x^{10}\times z^7

=x^{10}z^7

∴ \frac{x^{12}\times z^{11}}{x^2\times z^4}=x^{10}z^7

<h3>The correct simplification for the given expression \frac{x^{12}\times z^{11}}{x^2\times z^4} is x^{10}z^7</h3><h3>Hence option A) x^{10}z^7 is correct answer.</h3>

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4 0
3 years ago
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SVETLANKA909090 [29]

Answer:

1. (3^3 + 3^2)^2 actually equals (27 + 9)^2

which is the first mistake

2. (27 + 9)^2 does not equal (3^5)2, so (36)^2 does not equal 3^7

3. 3^7 DOES NOT EQUAL 21

Step-by-step explanation:

when you add powered numbers together, it does not multiply it, as your example:

1. (3^3 + 3^2)^2 actually equals (27 + 9)^2

which is the first mistake

2. (27 + 9)^2 does not equal (3^5)2, so (36)^2 does not equal 3^7

3. 3^7 DOES NOT EQUAL 21

4 0
3 years ago
Read 2 more answers
A regular pair of gloves are $35. If its sale price is $24.50, what is the percent of disount?
jeka94

Answer:

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Step-by-step explanation:

(35 - 24.50) / 35  * 100% = 30%

3 0
1 year ago
(2/3q – 3/4) and (–1/6q – r) What is the coefficient of q in the sum of these two expressions?
oee [108]

Answer:

The co-efficient of q in sum of the given expression is 2

Step-by-step explanation:

Given expressions are \frac {2}{3q}-\frac {3}{4} and  \frac{-1}{6q}-r

Now sum the given expression

\frac {2}{3q}-\frac {3}{4} + \frac{-1}{6q} -r = \frac{4-1}{6q} -\frac{3}{4} -r

\frac {2}{3q}-\frac {3}{4} + \frac{-1}{6q} -r = \frac{3}{6q} -\frac{3}{4} -r

\frac {2}{3q}-\frac {3}{4} + \frac{-1}{6q}-r =\frac{1}{2q} - \frac{3}{4} -r

Here the co-efficient q is 2      (since\frac{1}{q} = \frac{1}{2}  )

3 0
3 years ago
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Alecsey [184]
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So the rule would be multiply the input by 3 then add 2. The equation would be f(n) = 3n+2
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2 years ago
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