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den301095 [7]
3 years ago
12

Choose the correct simplification of x to the 4th power over y to the 2nd power all raised to the 4th power.

Mathematics
2 answers:
olga nikolaevna [1]3 years ago
6 0
The answer to your question is x^16/y^8.
nikitadnepr [17]3 years ago
6 0

Answer:

x to the 16th power over y to the 8th power.

Step-by-step explanation:

Here, the given expression is,

(\frac{x^4}{y^2})^4

=\frac{(x^4)^4}{(y^2)^4}     ( (\frac{a}{b})^m=\frac{a^m}{b^m} )

=\frac{x^{16}}{y^8}             ( (a^m)^n=a^{mn} )

Since, the further simplification is not possible,

So, the simplification form of the given expression is,

=\frac{x^{16}}{y^8}

= x to the 16th power over y to the 8th power.

You might be interested in
The value of <br> Arc sin⁡(1/2) + Arc tan⁡(1) is
Ray Of Light [21]

Answer:

  • 75°

Step-by-step explanation:

<u>We know that:</u>

  • sin 30° = 1/2, therefore arcsin (1/2) = 30°
  • tan 45° = 1, therefore arctan (1) = 45°

<u>So the value of the expression is:</u>

  • arcsin (1/2) + arctan (1) = 30° + 45° = 75°
3 0
2 years ago
Read 2 more answers
(23q – 34) and (–16q – r)
pochemuha

Answer:

=−368q2−23qr+544q+34r

Step-by-step explanation:

7 0
3 years ago
YALL PLEASE PLEASE DIS A TEST!!
ollegr [7]
The answer would be 7 becuase if rounded
3 0
2 years ago
5x-11=3x+5 solve for ”x”
I am Lyosha [343]

Answer:

x = 8

Step-by-step explanation:

Step 1: Write equation

5x - 11 = 3x + 5

Step 2: Solve for <em>x</em>

<u>Subtract 3x on both sides:</u> 2x - 11 = 5

<u>Add 11 to both sides:</u> 2x = 16

<u>Divide both sides by 2:</u> x = 8

Step 3: Check

<em>Plug in x to verify it is a solution.</em>

5(8) - 11 = 3(8) + 5

40 - 11 = 24 + 5

29 = 29

4 0
2 years ago
BRAINLIESTTT ASAP! PLEASE HELP ME :)
GrogVix [38]

Answer:

<u>1. Type of function</u>: absolute value function

<u>2. The three transformations from the parent function f(x) = |x| are</u>:

  • Translation 3 units to the left
  • Vertical stretch with a scale factor of 2
  • Translation 5 units downward

Explanation:

<u>1. Type of function</u>

The parent function |x| is the absolute value function. It returns the positive value of the argument (x).

Thus the function f(x) = 2|x + 3| - 5 is also an absolute value function.

It returns the positive value of x + 3, then multiplyes it by 2, and finally subtract 5.

This is a piecewise function.

For the values of x ≥ - 3, the output is 2(x +3) - 5 = 2x + 6 - 5 = 2x + 1.

For the values of x < - 3, the output is 2 (-x - 3) - 5 = -2x - 6 - 5 = -2x - 11.

The vertex of this function is at x = - 3: 2 (- 3 + 3) - 5 = 2(0) - 5 = 0 - 5 = 5.

Thus the vertex is (-3, 5).

<u>2. Transformations from the parent function f(x) = |x|</u>.

When you know the parent function and the daughter function you can know the transformations done of the former to get the later by some simple rules.

a)<u> Translation in the horizontal direction</u>.

When you add a positive value to the argument the function is translated to the left.

Thus, when you add 3 to x, |x| becomes |x + 3| and it is a translation 3 units to the left.

b) <u>Vertical stretch</u>

When you multiply the argument by a constant, the function stretches vertically.

Thus, when you multiply |x + 3| by 2, to get 2|x + 3|, the function is vertically stretched by a scale factor of 2.

c) <u>Vertical translation</u>

When you subtract a constant value from the function, you translate it downward.

Thus, when you subtract 5 from 2|x + 3| - 5, you translate the function 5 units downward.

6 0
3 years ago
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