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2 years ago

(X^-3)^2(x^-2)^3 PLS SIMPLIFY?!!!

Mathematics

1 answer:

sergiy2304 [10]2 years ago

5 0

Answer:

$\frac{1}{x^1^2}$

Step-by-step explanation:

Use this rule to simplify the parenthesis:

(xᵃ)ᵇ = xᵃᵇ

(x⁻³)²(x⁻²)³

x⁻⁶ × x⁻⁶

Then use the product rule:

xᵃxᵇ = xᵃ⁺ᵇ

x⁻⁶ × x⁻⁶

x⁻¹²

Use the negative power rule to get rid of the negative exponent:

$\frac{1}{x^1^2}$

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A rectangle has a length that is 4 units longer than the width. If the width is increased by 7 units and the length increased by

Savatey [412]

Answer:

A = (x + 7)(x + 9)

Step-by-step explanation:

Let the width w = x

then length l = w + 4 = x + 4

Area = length x width

= x(x+4)

Then the the width is increased by 7 units and the length increased by 5 units.

w = x + 7

l = (x + 4) + 5 =x + 9

A = (x + 7)(x + 9)

5 0

3 years ago

Read 2 more answers

Which graph represents the solution set of the compound inequality below? x + 3 < (4x – 12) < 20

nordsb [41]

x + 3 < 4x - 12 or 4x - 12 < 20

-x -x +12 +12

3 < 3x - 12 or 4x < 32

+12 +12 ÷4 ÷4

15 < 3x or x < 8

÷3 ÷3

5 < x

5 < x < 8

Graph: 5 o---------------o 8

6 0

2 years ago

Read 2 more answers

What is the value of k in the function ƒ(x) = 112 - kx if ƒ(-3) = 121?

DedPeter [7]

f(x) = 112 - kx
f(-3) = 112 - k(-3)
f(-3) = 112 - (-3k)
f(-3) = 112 + 3k
121 = 112 + 3k
- 112 - 112
      9 = 3k
      3    3
      3 = k

6 0

2 years ago

A _________ is used to change one unit to another?

slamgirl [31]

Answer:

conversion factor

Step-by-step explanation:

A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.

8 0

2 years ago

You find the following financial information about a company: net working capital = $735; fixed assets = $5,385; total assets =

ddd [48]

Answer:

Company's total liabilities are $6,351.

Step-by-step explanation:

A company's financial information is given, we have to calculate the company's total liabilities.

Total assets = Fixed assets + current assets

Current assets = Total assets - Fixed assets

= $8,190 - $5,385

= $2,805

Networking capital = Current assets - Current liabilities

$735 = $2,805 - current liabilities

Current liabilities = $2,805 - $735

Current liabilities = $2,070

Total liabilities = Long term debt + current liabilities

= $4,281 + $2,070

= $6,351

Company's total liabilities are $6,351.

5 0

2 years ago