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1 year ago

Which conversion requires multiplication?

Mathematics

1 answer:

Taya2010 [7]1 year ago

4 0

Answer:

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Applying Properties of Exponents In Exercise,use the properties of exponents to simplify the expression.

Mkey [24]

Answer:

$1.~e^{-2} \\2.~e^{\frac{7}{2}}\\3.~e^8\\4.~e^{\frac{-11}{2}}$

Step-by-step explanation:

We have to simplify the given exponential exponents.

Exponential Properties:

$e^0 =1\\e^a.e^b = e^{a+b}\\\\\displaystyle\frac{e^a}{e^b} = e^{a-b}\\\\(e^a)^b = e^{ab}\\\\e^{-a} = \frac{1}{e^a}$

Simplification takes place in the following manner:

$(e^{-3})^\frac{2}{3}\\(e^a)^b = e^{ab}\\=e^{-3\times \frac{2}{3}}\\=e^{-2}$

$(e^4)(e^{\frac{-1}{2}})\\e^a.e^b = e^{a+b}\\=e^{(4+\frac{-1}{2})} \\= e^{\frac{7}{2}}$

$(e^{-2})^{-4}\\(e^a)^b = e^{ab}\\= e^{-2\times -4}\\=e^8$

$(e^{-4})(e^{\frac{-3}{2}})\\e^a.e^b = e^{a+b}\\=e^{(-4+\frac{-3}{2})} \\= e^{\frac{-11}{2}}$

4 0

2 years ago

Convert 9.75 millimeters to centimeters

olya-2409 [2.1K]

The answer would be 0.975 because 9.75/10=0.975

3 0

3 years ago

Read 2 more answers

50 POINTS AND BRAINLEST FOR THE AWNSER!<br> PLEASE HELP

ivolga24 [154]

7. V = distance/time

V = three hospital corridors/5 minutes

Without the length of the three corridors the question is unanswerable

8. To figure this out you do

N x distance

848 x 43 = 36456 (Times 43 because there are three corridors 14.33 times 3)

5 0

3 years ago

Is 11/16 less than 3/8

Brilliant_brown [7]

$\dfrac{11}{16} \ \textless \ \dfrac{3}{8}-FALSE\\\\because\\\\\dfrac{3}{8}=\dfrac{3\cdot2}{8\cdot2}=\dfrac{6}{16} \ \textless \ \dfrac{11}{16}$

5 0

3 years ago

A quadrant is cut from a rectangle the side of the rectangle is 50 inches and 25.9 inches what is the length of the arc of the q

otez555 [7]

Answer:

The length of the arc of the quadrant is 40.663 inches

Step-by-step explanation:

The given parameters for the quadrant are;

The dimensions of the rectangle from which the quadrant is cut = 50 inches by 25.9 inches

Therefore, the length of the radius of the quadrant = The shortest side of the rectangle, r = 25.9 inches

Therefore, we have;

The length of the arc of the quadrant = 1/4 × 2 × π × r

Where;

π = 3.14

∴ The length of the arc of the quadrant = 1/4 × 2 × 3.14 × 25.9 = 40.663

The length of the arc of the quadrant = 40.663 inches.

8 0

2 years ago