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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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Without graphing, describe the end behavior of the graph of the function.
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Hopefully, this helps you answer the question. You can ignore the Q1 and Q2.

3 0
3 years ago
Solve 5kx + 6 = 7kx for x
ad-work [718]
Right now we have: 
5kx + 6 = 7kx 
First, divide both sides by k to eliminate that variable:
5x + 6 = 7x
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6 0
3 years ago
Read 2 more answers
Suppose that in a sequence a2 = 14, a4 = 26, a6 = 38, a8 = 50, and a10 = 62. Which of the following is the explicit formula for
olya-2409 [2.1K]
Seems to be aritmetic
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a1=fist term
d=comon difference
n=which term


a4-a2=2d where d is the common difference
26-14=12
12=2d
6=d
so
a2-6=a1
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5 0
3 years ago
A store sells cans of paint for $8 each, and brushes for $12 each. If they sell 100 items, and
Montano1993 [528]

Answer:

B.) 80 cans, 20 brushes

Step-by-step explanation:

Let the cans of paint be represented by variable <em>p</em> , and brushes by variable <em>b</em>

The first equation would be ; p + b = 100

p = 100 - b

The second equation would be;

8p + 12b = 880

Replace p in the equation by (100-b);

=8(100-b) + 12b =880

=800 - 8b +12b = 880

= subtract  800 from both sides to get;

4b = 880-800

4b = 80

divide both sides by 4 to solve for b;

b= 80/4

b = 20

If p + b = 100, then p+20 = 100

p = 100-20

p = 80

Therefore, they sold 80 cans of paint and 20 brushes

5 0
3 years ago
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