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Tpy6a [65]
3 years ago
15

Find the exact values of the following,giving your answers as fractions

Mathematics
1 answer:
Vsevolod [243]3 years ago
8 0

Answer:

(a) 3^{-2}=\frac{1}{9}

(b) 4^{-3}=\frac{1}{64}

(c) 2^{-6}=\frac{1}{64}

Step-by-step explanation:

To find the exact value in fractions of the followings:

Exponents also called powers its a way of expressing a number multiplied by itself by a certain number of times.

Using a^{-m}= \frac{1}{a^m}                   .......[1]

(a)

Fraction represents a part of a whole or more generally, any number of equal parts.

3^{-2} = \frac{1}{3^2}=\frac{1}{3\times 3}=\frac{1}{9}         [ Using [1]]

(b)

4^{-3} = \frac{1}{4^3} =\frac{1}{4\times 4\times 4}=\frac{1}{64}          [ Using [1]]

(c)

2^{-6} = \frac{1}{2^6} =\frac{1}{2\times 2\times 2\times 2\times 2\times 2}=\frac{1}{64}          [ Using [1]]



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Explain why the expression 10 to the power of zero, one to the power of four and 1×1.0 to the power of zero have the same value
Nina [5.8K]

Answer:

10*0=1, according to the law of indices which states that anything to the zero power is equal to one

1*4=1×1×1×1=1

1×1.0=1.0=1

3 0
3 years ago
Tobias sent a chain letter to his friends, asking them to forward the letter to more friends. The number of people who receive t
malfutka [58]

Answer:

  • P(t)=37\times (4)^{(t/9.1)}

Explanation:

The number of emails is multiplied by <em>4</em> every <em>9.1 weeks.</em>

Thus, since <em>Tobias initially sent the chain letter to 37 friends</em>, the number of letters will grow as per this geometric series:

Start:        37 letters

  • In 9.1 weeks: 37 × 4

  • In 2 × 9.1 weeks: 37 × (4)²

  • In 3 × 9.1 weeks: 37 × (4)³

As you see, the exponent is the number of weeks divided by 9.1

Thus, if your variable is the number of weeks, t, then the exponent is t/9.1

And the exponential function, P(t) will be:

   P(t)=37\times (4)^{(t/9.1)}

3 0
3 years ago
If m/CHF = 106°, then what is m/FHD?
densk [106]

Answer:

74 degrees

Step-by-step explanation:

The two angles in question form a straight line (180 degrees)

   180 = CHF + FHD

  180 = 106 + FHD

180 - 106 = FHD

   FHD = 74 degrees

5 0
2 years ago
Please answer it quickly the question is below!!! 40 points!!!!
andrew-mc [135]

Answer:

187.5 ft

Step-by-step explanation:

50 ft x 3.75 = 187.5

8 0
3 years ago
Please solve from A thru D. Thanks
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The unkown side legnth is 9 centimeteres long all you had to do was subtract all the numbers from 44 and what your left with is the unknown side.
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