MATHEMATICS HIGH SCHOOL

Choose the correct simplification of x to the 3rd power over y to the 5th power all raised to the 2nd power.x to the 5th power over y to the 7th power
x over y to the 3rd power
x to the 6th power over y to the 10th power
x6y10

Answers

Answer 1

Answer:

Answer:

Option 3 - x to the 6th power over y to the 10th power

Step-by-step explanation:

Given : Expression x to the 3rd power over y to the 5th power all raised to the 2nd power.

To find : Choose the correct simplification of the expression?

Solution :

Writing the expression in value form,

x to the 3rd power = $x^3$

y to the 5th power= $y^5$

x to the 3rd power over y to the 5th power all raised to the 2nd power =

$((x^3)/(y^5))^2$

Now applying identity,

$((x)/(y))^a=(x^a)/(y^a)$

$=((x^3)/(y^5))^2$

$=((x^3)^2)/((y^5)^2)$

Using identity, $(x^a)^b=x^(a.b)$

$=(x^(3.2))/(y^(5.2))$

$=(x^(6))/(y^(10))$

In word form, x to the 6th power over y to the 10th power.

Therefore, Option 3 is correct.

Answer 2

Answer: $\left( \cfrac{x^3}{y^5} \right)^2=\cfrac{(x^3)^2}{(y^5)^2}=\cfrac{x^(3*2)}{y^(5*2)}=\cfrac{x^(6)}{y^(10)}$

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When the lights go out at the store at night there's a 15% off sign hanging out by the make up counter what is a number as a decimal and a fraction in simplest form

Answers

Answer:

As per the given statement: when the lights go out at the store at night there's a 15% off sign hanging out by the make up counter.

To find the number as a decimal and a fraction in simplest form.

Given the Number = 15%.

If we convert any number from percent to decimal divide by 100 and remove the % sign.

$(15)/(100) = 0.15$

Then the given number in decimal is, 0.15

Now, to convert this percent into fraction;

$(15)/(100)$

Divide both numerator and denominator by 5 to get;

$((15)/(5) )/((100)/(5) ) = (3)/(20)$

Therefore, the given number in fraction is; $(3)/(20)$

How to find hyptenuse of a triangle?

Answers

IF the triangle has a 90-degree angle in it (it's a right triangle), then the length
of the hypotenuse is:

Square root of (square of the shortest side + square of the medium side).

If the triangle is not a right triangle, then it doesn't have a hypotenuse.

What values complete each statement?Enter your answers in the boxes.

(7√)^2 = _____
in simplest form.

By the Power of a Power rule, (712)2=722 .

So, 712 must equal______
in radical form.

Answers

For this case we have:

By properties of the radicals $\sqrt {a} = a ^{\frac {1} {2}}$

So:

$(\sqrt {7}) ^ 2 = (7 ^ {\frac {1} {2}}) ^ 2$ .

Now, for power properties we have:

$(b ^ {\frac {c} {d}}) ^ e = b ^ {\frac {c * e} {d}}$

Thus, $(7 ^ {\frac {1} {2}}) ^ 2 = 7 ^ {\frac {2} {2}} = 7$

So:

$7 ^ {\frac {1} {2}} = \sqrt {7}$ in its radical form

Answer:

$(\sqrt {7}) ^ 2 = (7 ^ {\frac {1} {2}}) ^ 2= 7 ^ {\frac {2} {2}} = 7$ in its simplest form.

$7 ^ {\frac {1} {2}} = \sqrt {7}$ in its radical form

Answer:

in its radical form

explanation:

HURRYY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!What is the name of the relationship between
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corresponding angles

adjacent angles

alternate interior angles

alternate exterior angles

Answers

corresponding angles is the answer

A package weighs 8 ounces how many pounds does the package weigh

Answers

since a pound is 16 ounces and 8 is half, then the package is half of a pound

Since 1 ounce = 0.0625
Now if we multiply 8 by 0.0625 it equals 0.5

So next time your converting ounces to pounds, you always multiply how many ounces there is to 0.0625

Answer : 0.5 pounds

Hope it helped :)

Which point is an x-intercept of the quadratic functionf(x) = (x – 8)(x + 9)?

(0,8)
(0,–8)
(9,0)
(–9,0)

Answers

If you would like to find the x-intercept of the quadratic function f(x) = (x - 8) * (x + 9), you can do this using the following steps:

f(x) = (x - 8) * (x + 9)

(-9, 0): f(-9) = (-9 - 8) * (-9 + 9) = (-17) * 0 = 0
x = -9 and y = 0

The correct result would be (-9, 0).

Answer:

C: on edge.

Step-by-step explanation:

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