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kompoz [17]
3 years ago
8

Simplify.

Mathematics
1 answer:
Dafna11 [192]3 years ago
3 0

\text{Use}\\\\(ab)^n=a^nb^n\\\\(a^m)^n=a^{n\cdot m}\\---------------------\\\\\left(4a^5b^6\right)^4=4^4(a^5)^4(b^6)^4=256a^{5\cdot4}b^{6\cdot4}=256a^{20}b^{24}

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4 years ago
Identify the statement as true or false.
svp [43]

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4 0
3 years ago
21(z+50)= 1,071 distrbultive property
Harman [31]

Answer:

The value of z is 1.

Step-by-step explanation:

Given:

21(z+50) = 1071

We need to solve the problem using distributive property.

Solution:

For the given equation we will apply distributive property;

By Definition of Distributive property which states that;

"The distributive property lets you multiply a sum by multiplying each addend separately and then add the products."

example = a(b+c) = a\times b +a\times c =ab +ac

So we get;

21\times z + 21\times 50 = 1071\\\\21z + 1050 =1071

Now by using Subtraction property we will subtract both side by 1050 we get;

21z+1050-1050=1071-1050\\\\21z=21

Now Dividing both side by 21 by using Division property we get;

\frac{21z}{21}=\frac{21}{21}\\\\z=1

Hence The value of z is 1.

8 0
3 years ago
A farmer has 250 ft of fencing and wants to enclose a rectangular area of 3750 ft². What dimensions should she use?
umka2103 [35]

Answer:

Longer side is 75 feet, shorter side is 50 feet.

Step-by-step explanation:

Let l be the length of the longer side and w be the length of the shorter side.

2l + 2w = 250, which simplifies to

l + w = 125. Solving for w, we have

w = 125 - l.

lw = l(125-l) = 3750

{l}^{2}  - 125l  - 3750 = 0

( l - 50)(l - 75) = 0

l = 75, w = 50

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