All categories

2 years ago

Tyler simplified the expression x³y9. His procedure is shown below.

Mathematics

1 answer:

V125BC [204]2 years ago

5 0

Answer:

(b) both powers should be in the denominator with positive exponents

Step-by-step explanation:

The applicable rule of exponents is ...

a^-b = 1/a^b

The correct simplification is ...

$x^{-3}y^{-9}=\dfrac{1}{x^3}\cdot\dfrac{1}{y^9}=\boxed{\dfrac{1}{x^3y^9}}$

Both variables should have positive exponents in the denominator.

You might be interested in

A line passes through the point (-6,-9) and has a slope of . Write an equation in slope-intercept form for this line.

garik1379 [7]

Answer:

y = $\frac{5}{2}$ x + 6

Step-by-step explanation:

4 0

3 years ago

Rackel runs 3.2 miles each weekday and 1.5 each day of the weekend how many miles will she rin i 6 weeks

OLEGan [10]

Answer:

114

Step-by-step explanation:

3.2 x 5 cause of the weekdays and 1.5 x 2 cause of the weekends. so then you have 16 and 3. Then you x's it soo 16x6 weeks and 3x6 weeks which equals 96 and 18 then you add thos together.

8 0

3 years ago

Please help<br><br>4(4+2x)=x(x+5)

lapo4ka [179]

Answer:

EF = 6

Step-by-step explanation:

Using the secant- secant power theorem, that is

GF × GE = GH × GS

4(4 + 2x) = 5(5 + x) ← distribute both sides

16 + 8x = 25 + 5x ( subtract 5x from both sides )

16 + 3x = 25 ( subtract 16 from both sides )

3x = 9 ( divide both sides by 3 )

x = 3

Then

EF = 2x = 2 × 3 = 6

3 0

2 years ago

Solve for x.<br><br> 8x^2-3=2

Mazyrski [523]

$(2^3x^2 - 3) - 2 = 0 \\ \\ Factoring: \ 8x^2-5 \\ \\ 8x^2 - 5 = 0 \\ \\ Add \ 5 \ to \ both \ sides \ of \ the \ equation : \\ \\ 
 8x^2 = 5 \\ \\ Divide \ both \ sides \ of \ the \ equation \ by \ 8: \\ \\ 
 x^2 = \frac{5}{8} = 0.625 \\ \\ \boxed{ x =\pm \sqrt 5/8}$

Your answer: Option A

7 0

3 years ago

Does a kilogram have more or less mass than a gram?

maks197457 [2]

More, a kilogram is 1000x the mass of a gram

6 0

2 years ago