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agasfer [191]
3 years ago
6

What is the radical form of each of the given expressions?

Mathematics
1 answer:
Ahat [919]3 years ago
5 0

Answer:

Step-by-step explanation:

These exponential forms can be written into radicals very easily as long as you remember the rule:  The denominator of the rational exponent serves as the index of the radical and the numerator serves as the exponent on the radicand. Let's look at a rational exponent.  3/4  4 would be the index on the radical (the number that sits in the little dip of the radical sign) and 3 is the power on the base.  So

x^{\frac{3}{4}} can be written in radical form as

\sqrt[4]{x^3}

Let's do 3^3/2 in your problem.  2 is the index (which is a "normal" square root and you don't need to write a 2 there cuz it's understood that it's a 2 if nothing is there), and 3 is the power on the base, which in our case is a 3.  Bases can be numbers OR letters.

3^{\frac{3}{2}}=\sqrt[2]{3^3}=\sqrt{3^3}

That does in fact have an actual number answer, but I don't think you are simplifying them yet, only learning to write them from one form to another, so there you go!

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Which choice is equivalent to the expression below ^-216​
Natali5045456 [20]

Answer:

B. 6i√6

General Formulas and Concepts:

<u>Algebra II</u>

  • Imaginary Numbers: √-1 = i

Step-by-step explanation:

<u>Step 1: Define expression</u>

√-216

<u>Step 2: Simplify</u>

  1. Factor:                     √-1 · √216
  2. Simplify:                   i · 6√6
  3. Multiply:                   6i√6
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3 years ago
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you are given an 8-gallon jug filled with water and also two empty jugs: one that holds 5 gallons and other that holds 3 gallons
Yanka [14]

Answer:

Step-by-step explanation:

We will use following steps to measure exactly 4 gallons of water with the help of 5 gallons and 3 gallons empty jugs.

1). Fill 3 gallons jug completely.

2). Pour this 3 gallons of water into 5 gallons jug. Now we have 3 gallons of water in 5 gallons jug and 3 gallons jug empty.

We can add 2 gallons of water in the empty space of 5 gallons jug more.

3). Fill the 3 gallons jug with the water again.

4). Pour this water into 5 gallons jug which can hold 2 gallons of water more.

Now we have 5 gallons of jug filled fully and 1 gallon water remaining in the 3 gallons jug.

5). Empty the 5 gallons jug completely.

6). Pour the remaining 1 gallon of remaining water in 3 gallons jug into 5 gallons jug.

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8 0
3 years ago
(24 ÷ 6 - 2 + 5 × 3 × (-1 - 3) ÷ 4)^2 How do you solve this? Help me I need this ASAP!!
Bond [772]

Answer:

169

Step-by-step explanation:

PEMDAS

Parenthesis first

Add -1 and -3 which is -4

Divide 24 by 6 which is 4

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Step-by-step explanation:

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LenKa [72]

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length=7feet.and width =10

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