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Nataly_w [17]
3 years ago
8

How do you simplify exponent properties?

Mathematics
1 answer:
bonufazy [111]3 years ago
3 0
There are a few properties that will take a little while to learn, so reading this once will not necessarily teach you what you need to know.
1) exponent property of multiplication:
a^b(a^c)=a^b+c; what this means is if you have two terms with the same base multiplied by each other, you can add their exponents. Say that I have 2(2), we know that any singular number is raised to the first power. Both twos are raised to the first power so 2(2) is also 2^1+1, or 2^2. Similarly 2^2(2^3)=2^2+3=2^5. However if the terms have different bases this rule DOES NOT APPLY. (Sorry for caps, I needed emphasis).
2) exponent property of division:
a^b/a^c=a^b-c; what this means is that if you have two terms with the same base divided by each other you can subtract their exponents. For example 2^3/2^2=2^3-2=2^1=2.
3) exponent property of um... craziness: a^b^c=a^b(c); for this rule of exponents b and c don’t have to be the same. For example, if we have 2^2^3, 2^2^3=2^2(3)=2^6.
There are a few more, so these take patience, time, and attention to detail. I hope this helps a bit.
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Round to the nearest given place.<br> 1.15294 thousandths
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1.15294

2 is thousandths place, so

1.153

Answer: 1.153

8 0
3 years ago
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Danika concludes that the following functions are inverses of each other because f(g(x)) = x. Do you agree with Danika? Explain
arsen [322]
We cannot agree with Danika. Why? Well, The reasoning is given as follows:

Two functions are inverses of each other if and only if it is true that the composition function is given by:

f(g(x))=x

Everything is ok up to this point, right?. But let's prove that this is not fulfilled for these functions, then:

f(x)=\left | x \right | \\ \\ g(x)=-x \\ \\ f(g(x))=\left| -x \right |=\left | -1 \right | \left | x \right |=\left | x \right |  \\ \\ \therefore f(g(x))=\left | x \right | \neq x
<span>
As you can see we did not obtain the function that matches the definition of </span>inverse functions. For that reason <em>we can't agree with Danika</em>.
5 0
3 years ago
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the area of a square is A = s^2, where s is the length of one side of the square. what is the side length s for each square ? th
vlada-n [284]

Answer:

18

Step-by-step explanation:

324 = s^2 -->

sqrt324 = s -->

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18 = s

5 0
3 years ago
HELP, I don't understand this problem
White raven [17]

Answer:

A

Step-by-step explanation:

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3 years ago
. (02.05 MC) Side AB = 5, side BC = 6, side DE = 5, and side EF = 6. What additional information would you need to prove that ΔA
vaieri [72.5K]

Answer:

Side AC is congruent to side DF

Step-by-step explanation:

We are given that

Side AB=5 cm

BC=6 cm

Side DE=5 cm

Side EF= 6cm

We have to find an additional information would  need to prove that \triangle ABC\cong \triangle DEF by SSS.

When two triangles are congruent by SSS it means three sides of one triangle are congruent to corresponding sides of other triangle.

We have in triangle ABC and triangle DEF

AB\cong DE=5 cm

BC\cong EF=6 cm

AC\cong DF

Then ,\triangle ABC\cong \triangleDEF

Reason: SSS postulates

Answer: Side AC is congruent to side DF

8 0
3 years ago
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