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lina2011 [118]
3 years ago
9

4^3 * 4^4 = A) 4^-1 B) 4^1 C) 4^7 D) 4^12

Mathematics
2 answers:
lions [1.4K]3 years ago
7 0
<h2>Hello!</h2>

The answer is:

The correct option is:

C) 4^{3}*4^{4}=4^{7}

<h2>Why?</h2>

To solve the problem, we need to remember the product of powers with the same base property, the property is defined by the following relation:

a^{m}*a^{n}=a^{m+n}

If we are multiplying two or more powers with the same base, we must keep the base and add/subtract the exponents.

So, we are given the expression:

4^{3}*4^{4}

We can see that both powers have the same base (4), so solving we have:

4^{3}*4^{4}=4^{4+3}=4^{7}

Hence, we have that the correct option is:

C) 4^{3}*4^{4}=4^{7}

Have a nice day!

kumpel [21]3 years ago
5 0

Answer:

The correct answer is option C

4^7

Step-by-step explanation:

<u>Points to remember</u>

<u>Identities</u>

xᵃ/xᵇ = x⁽ᵃ ⁻ ᵇ⁾

xᵃ * xᵇ = x⁽ᵃ ⁺ ᵇ⁾

x⁻ᵃ = 1/xᵃ

<u>To find the correct option</u>

It is given that,

4^3 * 4^4

⇒ 4³ * 4⁴

By using identities we can write,

4³ * 4⁴  = 4⁽³ ⁺ ⁴)

 = 4⁷

Therefore the correct option is option C.  4^7

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<h3>What is a right angle triangle?</h3>

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Uhm, yeah im not very good at math, i need to graduate man, someone help lol
mr_godi [17]

Answer:

d=√73=8.544

Step-by-step explanation:

Find distance (d) between market (0,8) , court house(6,5) and library(6,-1)

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d=√(x2-x1)²-(y2-y1)²

d between market and court house:

d=√(6-0)²+(5-8)²

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the distance that Runner A ran=6.71+6=12.71

the distance from the library to the school:

d=√(6-(-2))²+(-1-(-4))²

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d=√64+9

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Runner B went  8.544 further than Runner A before stopping at school ( which is the distance between the library and the school.

5 0
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