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3 years ago

Use the power rules for exponents to simplify the expression. (Type as a fraction, use exponential form)

Mathematics

1 answer:

Burka [1]3 years ago

5 0

Answer: $\bold{\dfrac{h^9}{g^9}}$

<u>Step-by-step explanation:</u>

The power rule is "multiply the exponents".

You must understand that the exponent of both h and g is 1.

Multiply 1 times 9 for both variables.

$\bigg(\dfrac{h}{g}\bigg)^9=\bigg(\dfrac{h^1}{g^1}\bigg)^9=\dfrac{h^{1\times 9}}{g^{1\times 9}}=\large\boxed{\dfrac{h^9}{g^9}}$

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How can you apply the distributive property to factor out the greatest common factor for 40j - 16 = ?

Ronch [10]

The greatest common factor is 8. So your answer would be: 8(5j - 2) because 8 x 5j= 40j and 8 x 2= 16

6 0

3 years ago

Find the following limit or state that it does not exist. ModifyingBelow lim With x right arrow minus 2 StartFraction 3 (2 x min

leva [86]

Answer:

-60

Step-by-step explanation:

The objective is to state whether or not the following limit exists

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2}$ .

First, we simplify the expression in the numerator of the fraction.

$3(2x-1)^2 -75 = 3(4x^2 - 4x +1) -75 = 12x^2 - 12x + 3 - 75 = 12x^2 - 12x -72$

Now, we obtain

$12(x^2-x-6) = 12(x+2)(x-3)$

and the fraction is transformed into

$\frac{3(2x-1)^2 - 75}{x+2} = \frac{12(x+2)(x-3)}{x+2} = 12 (x-3)$

Therefore, the following limit is

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2} = \lim_{x \to -2} 12(x-3) = 12 \lim_{x \to -2} (x-3)$

You can plug in $-2$ in the equation, hence

$12 \lim_{x \to -2} (x-3) = 12 (-2-3) = -60$

6 0

3 years ago

Plz help idk how to do this

finlep [7]

Answer:

Step-by-step explanation:

7 0

3 years ago

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Who can Help???

rosijanka [135]

I'm not the best at writing, but I can try. so here's an idea:you can have as your scenario something like "On a vase shaped like a rectangular prism is a flower. Knowing that the stem of the flower is the diagonal of the prism, the diagonal of the base is 18 and the sinus of the angle between the stem and the diagonal(of the base) is 4/5, find the stem's length and the height of the vase"

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3 years ago

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The first five terms of a sequence are 2, 5/3, 3/2, 7/5 and 4/3. what is the explicit formula?

katen-ka-za [31]

Answer:

an = (n+3)/(n+1)

Step-by-step explanation:

The sequence can be written as ...

4/2, 5/3, 6/4, 7/5, 8/6, ...

where the first numerator is n+3 and the first denominator is n+1. Each numerator and denominator increase by 1 from term to term, so the explicit formula can be written

an = (n+3)/(n+1)

4 0

3 years ago