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2 years ago

Express (16^3)^1/2 in simplest radical form.

Mathematics

1 answer:

Rufina [12.5K]2 years ago

6 0

Answer:

I assume you mean 16^(1/3) i.e. the cube root of 16

I am also assuming you mean the real cube root because, as you may know, every non-zero real number has three cube root - one real and two complex conjugates.

Since 16 = 8 x 2 and 8 = 2³ then (2³ x 2)^1/3 = (2³)^1/3 x 2^1/3 = 2 x 2^1/3

You might check that the cube root of 16 is about 2.52 which is twice the cube root of 2

Step-by-step explanation:

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express each of the following as product of its prime factors, giving your answer in expanded form. a) 24. b) 63. c) 84. d) 150

Alborosie

To answer this question, you can use a factor tree, or the table thing (I forgot what it’s called.)
You divide the number by one of its PRIME factors, until there is only one left. The numbers you divided it by are written as shown.
Hope this helps. :)

3 0

3 years ago

How many miles did Brian run?

VashaNatasha [74]

Answer:

5.28 miles

Step-by-step explanation:

he ran a total of 18 days. 95 miles dived by 18 days is 5.27 if you round it its 5.28

4 0

3 years ago

Read 2 more answers

Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If pos

Gnoma [55]

The converted fractions are 3/12 and 5/12 and the sum is 2/3

<h3>How to convert the fractions?</h3>

From the question, the fractions are given as

1/4 and 5/12

The denominators of these fractions are

4 and 12

So. we start by calculating the LCD of the denominators

So, we have

4 = 2* 2

12 = 2 * 2 * 3

This gives

LCD = 2 * 2 * 3

Evaluate

LCD = 12

This means that the common denominator must be 12

So, we have

1/4 and 5/12

Multiply 1/4 by 3/3

This gives

3/12 and 5/12

When the fractions are added, we have

3/12 + 5/12 = (3 + 5)/12

Evaluate

3/12 + 5/12 = 8/12

Reduce fraction

3/12 + 5/12 = 2/3

Hence, the sum of the fractions is 2/3

Read more about fractions at

brainly.com/question/1622425

#SPJ1

8 0

1 year ago

Is y= 3(1/2)^x increasing or decreasing?

Zigmanuir [339]

Answer: Hey I looked on a graphing calculator on Desmos, and its seems that this is increasing.

Step-by-step explanation:

5 0

2 years ago

An open box is to be made out of a 12-inch by 20-inch piece of cardboard by cutting out squares of equal size from the four corn

Natali5045456 [20]

Answer:

Length = 15.14, width = 7.14 and height = 2.43 inches.

( correct to the nearest hundredth).

Step-by-step explanation:

Let the lengths of the squares cut out be x inches.

Then the width of the box will be 12 - 2x and the length will be

20 - 2x inches.

The height of the box is x inches.

Volume V = x(20-2x)(12-2x)

To find the value of x when V is a maximum we find the derivative and equate it to zero.

V = x( 240 - 64x + 4x^2)

V = 4x^3 - 64x^2 + 240x

dV/dx = 12x^2 - 128x + 240 = 0

4(3x^2 - 32x + 60) = 0

This won't factor so we use the formula:

x = [-(-32) +/- √((-32)^2 - 4*3*60)] / 6

= 8.24, 2.43.

So one of these gives a maximum Volume.

The second derivative

d^2V/dx^2 = 24x - 128

When x = 8.24, this = 69.6 (positive) so this gives a minimum.

x = 2.43 gives a negative value ( -49.7) so this is the maximum

So the dimensions are:-

length = 20 - 2(2.43) = 15.14

width = 12 - 2(2.43) = 7.14

height = 2.43.

7 0

2 years ago