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Kisachek [45]
3 years ago
7

Simplify (5^3)^6 leaving your answer in index form

Mathematics
2 answers:
Verizon [17]3 years ago
5 0

( {5}^{3} ) ^{6}  =  {5}^{3 \times 6} =  {5}^{18}

Temka [501]3 years ago
5 0

Answer:

5^18.

Step-by-step explanation:

By the law of indices:

(a^b)^c = a^(bc)

So (5^3)^6

= 5^(3*6)

= 5^18.

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The product of two positive integers is 176. One number is 5 more than the other. Find the smaller number.
svlad2 [7]

Hello from MrBillDoesMath!

Answer:

11



Discussion:

Let "n" be the smaller number. Then

n * (n+5) = 176.


My first reaction to this problem was to factor 176 in my head. That's  176 = 16 * 11 and 16 is 5 more than 11. So that's the solution!.... Now let's solve it using the brute force approach:

n(n+5) = 176                 =>

n^2 + 5n - 176 = 0       => use the quadratic formula


n =     ( -5 +\- sqrt( 5^2 - 4(1)(-176)) )  /2

 =     ( -5 +\- sqrt( 25 +  704) )/ 2

=     ( -5 +\- sqrt (729) ) /2                            => as sqrt(729) = 27

=      (-5 +\- 27) / 2                                        =>

=      (-5 + 27)/2 or ( -5 -27)/2                      =>

=      22/2  or  -32/2                                     =>

=      11 or  -16


But -16 is not allowed as the question wants a positive value.



Thank you,

MrB

4 0
3 years ago
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Vera_Pavlovna [14]

Answer:

b

Step-by-step explanation:

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3 0
3 years ago
I need some DETAILED examples of Dividing Integers! Urgent, pls help ASAP!
vfiekz [6]

Here are some examples:

Integers are positive and negative numbers, but dividing integers are dividing positive and negative numbers:

Remember these rules:

  1. Negative divided by a negative equals a positive.
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Examples:

  • -4 \div 2 = -2
  • -4 \div -4 = 1
  • 4 \div 2 = 2

Hope this helps!

8 0
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5/8 = ? (Please do this one:)
SpyIntel [72]

Answer:

0.625

Step-by-step explanation:

4 0
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Ksju [112]

Answer:

18 \times 14 =  {(6x)}^{2}  \\  {x}^{2}  =  \frac{18 \times 14}{36}  = 7 \\ x =  \sqrt{7}

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