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DedPeter [7]
3 years ago
5

Which is the simplified form of

Mathematics
2 answers:
Tatiana [17]3 years ago
7 0

Answer:

The simplified form of n to the -6th power times p to the 3rd power is p^3/n^6.

Step-by-step explanation:

Gemiola [76]3 years ago
5 0

For this case we have that by definition of properties of powers, it is fulfilled that:

a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}

We have the following expression:

n ^ {- 6} * p ^ 3

We can rewrite it as:

\frac {p ^ 3} {n ^ 6}

Finally:

n ^ {- 6} * p ^ 3 = \frac {p ^ 3} {n ^ 6}

Answer:

Option C

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A. Find a value for x that makes -x less than 2x.
german

Answer:

it B find a value for x that make -x greater than 2x

6 0
2 years ago
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Solve the radical equation x – 7 = square root of -4x+28. Which statement is true about the solutions to the radical equation? T
Julli [10]

Answer:

x = 3 and 7

There are two true solutions.

Step-by-step explanation:

To solve x-7 = \sqrt{-4x+28}, use inverse operations by squaring both sides of the equal sign.

(x-7)^2 = (\sqrt{-4x+28})^2\\x^2-14x+49 = -4x+28\\x^2-14x+4x+49-28 = 0\\x^2-10x+21=0

The quadratic expression can be factored into binomials and set equal to 0 by the zero product property to find x.

(x - 3) ( x - 7) = 0

x-3 = 0 so x=3

x-7 = 0 so x=7

Now check each solution into the original equation to be sure it solve the solution and is not extraneous.

7-7 = \sqrt{-4(7)+28}\\ 0=0

and

3-7 = \sqrt{-4(3)+28}\\[tex]-4 = \sqrt{16}\\-4 =-4[/tex]

3 0
3 years ago
Find the value of x that makes the two triangles equal
Leona [35]

Answer:

5

Step-by-step explanation:

\triangle CDE \sim\triangle FGH...(given)

\therefore \frac{CD}{FG}=\frac{CE}{FH}...(csst)

\therefore \frac{4x}{28}=\frac{25}{35}

\therefore \frac{x}{7}=\frac{5}{7}

\therefore x=\frac{7\times 5}{7}

\therefore x=5

8 0
2 years ago
Which of the following are solution to the inequality below -4w - 2 < -38
FromTheMoon [43]

Answer:

w > 9

Step-by-step explanation:

Solve the inequality by using inverse operations.

-4w - 2 < -38

-4w < -36

w > 9

Like solving equations, inequalities should be solved using inverse operations. However, unlike equations, when you divide or multiply by a negative the sign changes.

8 0
3 years ago
Solve the equations if possible <br><br> * -5×=×+6(1-×)<br><br> *(2×-5)²=(2×-1)(2×+1)-10(2×-1)
Allushta [10]
-5x = x + 6(1-x)

-5x = x + 6(1) + 6(-x)
-5x = x + 6 -6x
-5x = x - 6x + 6
-5x = -5x + 6
-5x + 5x = 6
0 = 6  Not equal. No solution.

(2x-5)² = (2x-1)(2x+1) -10(2x-1)
(2x-5)(2x-5) = (2x-1)(2x+1) - 20x + 10
2x(2x-5)-5(2x-5) = 2x(2x+1)-1(2x+1) - 20x + 10
4x² - 10x -10x + 25 = 4x² + 2x - 2x -1 - 20x + 10
4x² - 20x + 25 = 4x² - 20x - 1 + 10
4x² - 20x + 25 = 4x² - 20x - 9

Not equal. No solution.

8 0
3 years ago
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