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irga5000 [103]
3 years ago
8

Simplify the expression where possible. (x^2)^4

Mathematics
1 answer:
balu736 [363]3 years ago
3 0

Answer:

<h3><em>x</em><em>^</em><em>8</em></h3>

Step-by-step explanation:

According to the third law of indices,

<h3><em>(</em><em>x</em><em>^</em><em>m</em><em>)</em><em>^</em><em>n</em><em> </em><em>=</em><em>x</em><em>^</em><em>mn</em><em> </em><em>(</em><em>i</em><em>.</em><em>e</em><em>,</em><em> </em><em>m</em><em>×</em><em>n</em><em>)</em></h3>

In this case m=2 and n=4

So that can be applied thus:

<h3><em>(</em><em>x</em><em>^</em><em>2</em><em>)</em><em>^</em><em>4</em><em> </em><em>=</em><em>x</em><em>^</em><em>2</em><em>×</em><em>4</em></h3>

<em>2</em><em>×</em><em>4</em><em>=</em><em>8</em>

so it will now be written this way:

<em>x</em><em>^</em><em>8</em>

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Simplify the expression by combining like terms.
Tju [1.3M]

Answer:

8x + 13

Step-by-step explanation:

"Like terms" means the same kind of algebraic expression...the 6x and the 2x are "like terms" because they both have an x in them. The 9 and the 4 are both constants, which means they are plain numbers. So 6x and 2x is 8x .

9+4 is 13 just like elementary school.

So all together,

6x + 9 + 2x + 4

6x + 2x + 9 + 4

8x + 13

We can rearrange the terms because the problem has all addition in between the terms.

4 0
2 years ago
Solve 5/8+3/4 -2/3-5/6
alexira [117]

Answer:

-.125

Step-by-step explanation:

5/8 + 3/4 solve

2/3 - 5/6 solve

then subtract your numbers

3 0
3 years ago
Read 2 more answers
What is the distance from the point (3,8) to the point (7,-6)?
oksano4ka [1.4K]

Answer: Distance is 14.6

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

(x2-x1) = (7 - 3) = 4

(y2-y1) = (-6 - 8) = -14

add it all together

(4)2 + (-14)2 = 16 + 196 = 212

Square 212

\sqrt{212} =14.5602

round to the nearest tenth

=14.6

PLEASE MARK BRAINLIEST

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Note: You may use a calculator to solve the following problems.
Verizon [17]
Use a calculator it will help.
4 0
3 years ago
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
irga5000 [103]

Answer:

The rocket hits the ground at a time of 11.59 seconds.

Step-by-step explanation:

The height of the rocket, after x seconds, is given by the following equation:

y = -16x^2 + 177x + 98

It hits the ground when y = 0, so we have to find x for which y = 0, which is a quadratic equation.

Finding the roots of a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

y = -16x^2 + 177x + 98

-16x^2 + 177x + 98 = 0

So

a = -16, b = 177, c = 98

\bigtriangleup = 177^{2} - 4(-16)(98) = 37601

x_{1} = \frac{-177 + \sqrt{37601}}{2*(-16)} = -0.53

x_{2} = \frac{-177 - \sqrt{37601}}{2*(-16)} = 11.59

Since time is a positive measure, the rocket hits the ground at a time of 11.59 seconds.

4 0
3 years ago
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