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Nezavi [6.7K]
3 years ago
11

Simplify 12 to the 16th power over 12 to the 4th power

Mathematics
1 answer:
inessss [21]3 years ago
7 0
Hello there!

\frac{ 12^{16}}{12^{4} }

Do solve for this, we actually just have to do one thing since our number is the same - subtract the exponents.

When you divide by exponents, you are subtracting them. 

For example;

\frac{ x^{5} }{x^{2} }

Subtract the exponents.

x^{3} is your answer for this example.

Let's apply this to our current expression.

\frac{ 12^{16}}{12^{4} }

Subtract the exponents.

12^{12} is your simplified expression with exponents.

I hope this helps!
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Simplify the expression:<br> 2(2 + 7b) =
nikitadnepr [17]

Answer:

4 + 14b

Step-by-step explanation:

First, you need to distribute so,

2*2= 4   and

2*7b= 14b

4 0
3 years ago
Construct the exponential function that contains the points (0,2) and (3,54)
erma4kov [3.2K]

The exponential function that passes through (0,2) and (3,54) is a growth function

The exponetial function is y = 2 * 3^x

<h3>How to construct the exponential function?</h3>

The points are given as:

(x,y) = (0,2) and (3,54)

An exponential function is represented as:

y = ab^x

Substitute the points in the equation

2 = ab^0 and 54 = ab^3

Solve 2 = ab^0

a = 2

Substitute 2 for a in 54 = ab^3

54 = 2b^3

Divide by 2

27 = b^3

Take the cube roots of both sides

b = 3

So, we have:

y = ab^x

This becomes

y = 2 * 3^x

Hence, the exponetial function is y = 2 * 3^x

Read more about exponential functions at:

brainly.com/question/24077767

8 0
2 years ago
What is the length of the altitude of the equilateral triangle below?
balandron [24]

\bf \textit{height or altitude of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2}~~ \begin{cases} s=\stackrel{length~of}{a~side}\\ \cline{1-1} s=8\sqrt{3} \end{cases}\implies h=\cfrac{8\sqrt{3}\cdot \sqrt{3}}{2}\implies h=\cfrac{8\sqrt{3^2}}{2} \\\\\\ h=4\cdot 3\implies h=12

3 0
3 years ago
Ten students were polled about their favorite foods. Four students voted for pizza, three students voted for chicken, two voted
Natali5045456 [20]

Answer:

D

Step-by-step explanation:

Pizza+Tacos+spaghetti+Chicken=10

Pizza+Chicken=7

8 0
3 years ago
Read 2 more answers
Will somebody help me with this ? Very much appreciated!! I’ll mark u as brainliest!
Mice21 [21]

Answer:

Step-by-step explanation:

y = x - 1/4

x = 1/4                  Put this value in for x

y = 1/4 - 1/4

y = 0

x = 13/4

y = 13/4 - 1/4        The denominators remain the same The numerators are subtracted.

y = (13 - 1)/4

y = 12/4

y = 3

If x is to = 2 then it must be changed so it's denominator is 4

2 = 8/4

y= 8/4 - 1/4

y = 7/4 or 1.75  or 1 3/4

3 0
2 years ago
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