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3 years ago

I don’t understand this help please

Mathematics

1 answer:

Elodia [21]3 years ago

3 0

Answer:

Step-by-step explanation:

The first simplification we can make is to replace 6^0 with 1.

The first rules of exponents we can apply are ...

(a·b)^c = a^c·b^c . . . . . . similar to the distributive property

 (a^b)^c = a^(b·c)

This reduces your expression to ...

$(2^8\cdot 3^{-5})^{-2}\cdot\left(\dfrac{3^{-2}}{2^3}\right)^4\cdot 2^{28}=2^{8(-2)}\cdot 3^{-5(-2)}\cdot\dfrac{3^{-2(4)}}{2^{3(4)}}\cdot 2^{28}\\\\=2^{-16}\cdot 3^{10}\cdot\dfrac{3^{-8}}{2^{12}}\cdot 2^{28}$

Now we can apply another two rules of exponents:

 (a^b)(a^c) = a^(b+c)

 1/a^b = a^-b

Using these, we have ...

$=2^{-16-12+28}\cdot 3^{10-8}\\\\=2^0\cdot 3^2\\\\=1\cdot 9=9$

The value of the expression is 9.

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15 points+brainliest!! please help asap, this is due tonight please!!

Masteriza [31]

Answer:

$x=\sqrt{13}$

Step-by-step explanation:

Base of the isosceles triangle = 4

Perpendicular of the triangle = 3

In an isosceles triangle , a perpendicular bisects a base equally. So, here the isosceles triangle consist of 2 right angled triangles.

In that right angled triangles,

Base = 4/2 = 2 (∵ A perpendicular divides a base into 2 equal parts. )

Perpendicular = 3

Hypotenuse = x

So , according to Pythagorean Theorem ,

$Hypotenuse = \sqrt{Base^2 + Perpendicular^2}$

Using all the values above into the formula gives :-

$x =\sqrt{2^2 + 3^2} = \sqrt{4+9} =\sqrt{13}$

3 0

3 years ago

Evaluate the function for the given value of x f(n)=n^2-6n+7n at n=3

vagabundo [1.1K]

F(n)=13
3^2-6(3)+7(3)=12

6 0

3 years ago

The attendance at a family reunion was 160 people. This was 125% of last year's attendance. How many people attended the reunion

Alex787 [66]

If you would like to know how many people attended the reunion last year, you can calculate this using the following steps:

125% of last year's attendance is 160 people
125% of x is 160
125% * x = 160
125/100 * x = 160 /*100/125
x = 160 * 100 / 125
x = 128 people (last year)

Result: 128 people attended the reunion last year.

4 0

3 years ago

I need a break down of the answer in fraction form

Flauer [41]

Umm what do you mean?

6 0

3 years ago

Angle c is inscribed in circle O. AB is a diameter of circle O. what is the radius of circle.

Llana [10]

Answer:

The value of radius is 7.5 units

Step-by-step explanation:

Given that a line that pass through the origin and form a triangle is a right-angle triangle. So in order to find the diameter/hypotenuse, you have to use Pythogaras Theorem :

${c}^{2} = {a}^{2} + {b}^{2}$