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Artemon [7]
3 years ago
12

Which expression is equivalent to \left(3^{-6}\times 3^{3}\right)^{-1}\normalsize?(3 −6 ×3 3 ) −1 ? 3^{-19}3 −19 3^{18}3 18 3^{-

3}3 −3 3^{3}3 3
Mathematics
1 answer:
mars1129 [50]3 years ago
5 0

Answer:

27

Step-by-step explanation:

Given the expression

\left(3^{-6}\times 3^{3}\right)^{-1}\\

According to law of indices, this can be written as;

\left(3^{-6+3})^{-1}\\\\= (3^{-3})^{-1}\\\\= 3^{-3*-1}\\\\= 3^3\\\\= 27

Hence the required answer is 27

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Jonita determined that the distance between her apartment and the nearest hospital was more than 1,600 meters but less than 1,90
Bess [88]

Answer: 1.8 x 103 meters

Step-by-step explanation:

The average of the two extremes is 1,700 meters.  This would be 1.7x10^3 in scientific notation.  None of the four options include this number.  But three stand out as total losers.  We can convert the answer options to see the difference:

O 1.7 x 102 meters  =    170 meters      [Loser]

O 1.8 x 103 meters  =  1800 meters

O 1.7 x 10-3 meters =  0.0017 meters   [Loser]

O 1.8 x 10-2 meters =  0.018 meters     [Loser]

7 0
2 years ago
Jane had 275 stickers, which she gave to her friends. Each friend got five more stickers than the friend before. If the first fr
Paha777 [63]

Answer:

10 friends

Step-by-step explanation:

we know that

The formula of the sum is equal to

sum=\frac{n}{2}[2a1+(n-1)d]

where

a1 is the first term

n is the number of terms (number of friends)

d is the common difference in the arithmetic sequence

In this problem we have

sum=275\ stickers

a1=5\ stickers

d=5 ----> the common difference

substitute in the formula and solve for n

275=\frac{n}{2}[2(5)+(n-1)(5)]

550=n[10+5n-5]\\ \\550=10n+5n^{2} -5n\\ \\5n^{2}+5n-550=0

Solve the quadratic equation by graphing

The solution is n=10

see the attached figure

therefore

She had 10 friends who got stickers

5 0
3 years ago
(8x^2)^3 multiplying monomials
ANEK [815]
Simplify the following:
(8 x^2)^3
Multiply each exponent in 8 x^2 by 3:
8^3 x^(3×2)
3×2 = 6:
8^3 x^6
8^3 = 8×8^2:
8×8^2 x^6
8^2 = 64:
8×64 x^6
8×64 = 512:
Answer: 512 x^6

8 0
3 years ago
*PLEASE help* ANY IRRELEVANT ANSWERS WILL BE REPORTED *
sp2606 [1]

Answer:

Frank was going around his school and was asking fellow students how many scoops of ice cream they like for desert. He learned that zero students like 3 scoops of ice cream. The more students he asked the smaller the amounts got. The amounts got smaller by half a scoop per person. When he asked a 6th person they did not want any ice cream scoops for desert.

Step-by-step explanation:

Y intercept: 3

Slope: - 1/2

x intercept: 6

Have an amazing day!

Please mark brainliest!

4 0
2 years ago
Sabiendo que 16x10=160¿como resolverías, sin hacer la cuenta escrita los siguientes calculos?A_16x20=
-Dominant- [34]

Answer:

A_16x20=320

Step-by-step explanation:

Esto se puede hacer fácilmente de 2 formas.

1) 20 se puede dividir en un múltiplo de 10 y luego multiplicar

16 x 20 =16 x 10 x 2 = 160 x 2 = 320

2) Uso de cero.

Cualquier cosa multiplicada por cero da un cero y luego multiplicar el otro número da el resultado.

16 x 20 = (16 x 2) * 10 = (32) 10 = 320

Así que separamos el cero añadiéndole un 1, lo que lo convierte en 10 y obtenemos el mismo resultado.

This can be easily done in 2 ways .

1) 20 can be broken into a multiple of 10 and then multiplied

16 x 20 =16 x10 x 2=160x 2= 320

2) Use of zero.

Anything multiplied with zero gives a zero and then multiplying the other number gives the result.

16 x 20 = (16x 2) *10= (32)10= 320

So we separated the zero by adding a 1 to it thus making it 10 and we get the same result.

7 0
3 years ago
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