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2 years ago

What is the value of the expression with base 3 and exponent 4?

Mathematics

2 answers:

Zanzabum2 years ago

8 0

Answer: 81

Step-by-step explanation: 3 to the power of 4 means 3 multiplied 4 times.

Brums [2.3K]2 years ago

6 0

Answer:

Step-by-step explanation:

$3^{4} = 3*3*3*3 = 81$

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What decimal represents the fraction 1/4

Sedaia [141]

Answer:

0.25

Step-by-step explanation:

1/4 is equal to 1.00 split into 4 equal parts. 0.25*4 = 1.00 , meaning that each 1/4 is equal to 0.25

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Jose bought 1.5 pounds of apples for $3.60.

ipn [44]

I think the answer would be 81.60

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Deshaun made 143 for 11 hours of work. At the same rate, how much would he make for 9 hours of work?

Ivanshal [37]

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graph the solutions of the inequality on a number line. Describe the solution to the inequality. p > 4

inysia [295]

Draw out a number line. Make sure 4 is on the number line. At this location, plot an open circle. The open circle indicates "do not include this endpoint as part of the solution set". We shade to the right of this open circle.

Visually this describes all real numbers that are larger than 4.

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2 years ago

The diameter of cold virus cell is about 3x10-9 meter,and the diameter of a streptoccus bacterium cell is about 9x10-7 meter. Wh

Archy [21]

Here we need to compare the orders of magnitude of two measures.

We will see that the bacteria is 300 times larger than the virus.

We know that:

The diameter of the virus-cell is:

$D_v = 3 \cdot 10^{-9} m$

The diameter of the bacteria cell is:

$D_b = 9 \cdot 10^{-7} m$

So, to compare them, first notice that both are in the same units, meters, so we only need to compare the numbers.

Is common sense to identify the one with the largest exponent as the largest number, and the largest exponent is -7, thus the bacteria should be the larger one.

But let's prove this with math, remember the property:

$\frac{a^n}{a^m} = a^{n - m}$

Let's take the quotient between the diameters and see what we get, I will use the diameter of the bacteria in the numerator, thus if the quotient is larger than 1, it would mean that the bacteria is greater and by how much.

$quotient = \frac{ 9 \cdot 10^{-7} m}{ 3 \cdot 10^{-9} m} = \frac{9}{3} \cdot 10^{-7 + 9}\\\\= 3*10^2$

So we can say that the bacteria is 3*10^2 = 3*100 = 300 times larger than the virus.

If you want to learn more, you can read:

brainly.com/question/4953281

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2 years ago