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hjlf
3 years ago
9

I dont understand how to combine positive and negative exponents. For example how would i solve 4 to the third power times 4 to

the negative 4 power?
Mathematics
1 answer:
frutty [35]3 years ago
8 0

Answer: 1/4

Step-by-step explanation:

If you are multiplying exponents that have the same base(the are both 4 to...),

keep the base the same, and add the exponents. In this case, 4^3*4^-4 would come out to 1/4. You never never never never want negative exponents. To get rid of them, use the recipricole. 4^-4 is the same as 1/256.

If the bases are not the same and the exponents are the same, do this:x^a*y^a=(xy)^a. Multiply the bases together, and keep the exponent the same.

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Dmitry [639]

Answer:

None

Step-by-step explanation:

Look at the map

6 0
2 years ago
Question 1 of 10
Archy [21]

Answer:

A. y = 7(x + 1)²-3

Step-by-step explanation:

Parabola:

y = 7x^{2} + 14x + 4

y = 7(x^{2} + 2x) + 4

Putting into vertex form, remember that:

(x + a)^{2} = x^{2} + 2ax + a^{2}

In this question:

x^{2} + 2x, to put into this format:

x^{2} + 2x + 1 = (x + 1)^{2}

We add one inside the parenthesis to do this. The parenthesis is multiplied by 7, so for the equivalent, we also have to subtract 7. Then

Vertex form:

y = 7(x^{2} + 2x + 1) + 4 - 7

y = 7(x + 1)^{2} - 3

So the correct answer is:

A. y = 7(x + 1)²-3

3 0
3 years ago
A new museum had 7500 vistiors this year.the number of visitors is expected to grow by 5% each year. How many vistiors will be i
Bumek [7]

Answer:

9572 visitors

Step-by-step explanation:

This is exponential: y=aby=ab^x

a = initial value

b = growth rate

It will grow by 5% each year but also keep the same amount as last year (100% of last year's visitors)

a = 7500

b = 1.05

y = 7500(1.05)^x

Plug in x=5

9572.111719 = 9572 visitors

8 0
3 years ago
At the beginning of an environmental study, a forest covered an area of 1500 km2 . Since then, this area has decreased by 9.8% e
fredd [130]

Answer:

A(t)=(0.902)^t \cdot 1500 [km^2]

Step-by-step explanation:

In this problem, the initial area of the  forest at time t = 0 is

A_0 = 1500 km^2

After every year, the area of the forest decreases by 9.8%: this means that the area of the forest every year is (100%-9.8%=90.2%) of the area of the previous year.

So for instance, after 1 year, the area is

A_1 = A_0 \cdot \frac{90.2}{100}=0.902 A_0

After 2 years,

A_2=0.902 A_1 = 0.902(0.902A_0)=(0.902)^2 A_0

And so on. So, after t years, the area of the forest will be

A(t)=(0.902)^t A_0

And by substituting the value of A0, we can find an explicit expression:

A(t)=(0.902)^t \cdot 1500 [km^2]

8 0
3 years ago
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vladimir2022 [97]

Answer:

I think its 46, hope this helps!!!

6 0
2 years ago
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