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3 years ago

Describe how to simplify the expression 3^-6 3^-4

Mathematics

1 answer:

Annette [7]3 years ago

7 0

Answer:

For 3^-6 = 1/3^6 = 726 and for 3^-4 = 1/3^4 = 81

Step-by-step explanation:

ARE THE NUMBERS SEPARATED OR THEY ARE TO BE JOIN TOGETHER,IF THERE ARE SEPARATED THE SOLUTION IS GOING TO BE...

3^-6

using law of indices x^-a = 1/x^a

So 3^-6 = 1/3^6

Now find the power of 3^6

which is the same as 3×3×3×3×3×3 = 729

therefore 1/3^6 = 729

For 3^-4

using the above method

3^-4 is same as 1/3^4

which is equal to

finding the nominator

3×3×3×3 = 81

so the answer is 81

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How many times smaller is 2 × 10^-10 than 4 × 10^-5

natta225 [31]

Answer:

200,000

Step-by-step explanation:

To find how many times smaller is smaller number than greater number, divide greater number by smaller number.

Greater number $=4\times 10^{-5}$

Smaller number $=2\times 10^{-10}$

Then

$\dfrac{\text{Greater number}}{\text{Smaller number}}\\ \\=\dfrac{4\times 10^{-5}}{2\times 10^{-10}}\\ \\=\dfrac{4}{2}\times \dfrac{10^{-5}}{10^{-10}}\\ \\=2\times \dfrac{1}{10^{-5}}\\ \\=2\times 10^5\\ \\=2\times 100,000\\ \\=200,000$

7 0

4 years ago

Will give out Brainliest, aTHX, a friend request, and will rate ur answer

IgorC [24]

Answer:

a. -1

b. 8

c. 3

Step-by-step explanation:

6-7

(factor out the negative sign)

-(7-6)

(calculate)

-1

(your answer)

6-(-2)

(remove the parentheses)

6+2

(calculate)

(your answer)

6-3=3

6 0

3 years ago

Tyson and his friends go ice skating. Tyson must pay an initial fee of $18.30 plus $4.80 per hour. Write an equation for the cos

Helga [31]

The answer should be C.

6 0

4 years ago

Read 2 more answers

-x-5y=22&y=-7x+16 solve the system by the substitution method

Kaylis [27]

(3,-5) is your answer .-.

4 0

3 years ago

A 5.5-foot-tall woman walks at 4 ft/s toward a street light that is 27.5 ft above the ground. what is the rate of change of th

Citrus2011 [14]

Answer:

Rate at which the shadow is moving = -5 ft/s.

Step-by-step explanation:

I can do the second part for you:

If the distance of the woman from the wall is Xp , the length of the shadow is Xs and the distance from the tip of the shadow to the wall is X we have the relation:

X = Xp + Xs.

We need to find X' (the rate that the tip of the shadow is moving). at Xp = 16 and X'p = -4 ft/s.

We need a relation between X and Xp so we have to eliminate Xs.

By similar triangles 5.5 / 27.5 = Xs / x

1/5 = Xs/x

Xs = x /5 so substituting in the above relation:

X = Xp + X/5

4X/5 = Xp

X = 5Xp / 4

Taking derivatives:

X' = 5X'p / 4

Now X'p is given as - 4 so

X' = -20/4 = -5 ft/s.

3 0

3 years ago