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2 years ago

Could I get some help? Its simplifying square roots of negative numbers.

Mathematics

1 answer:

Ainat [17]2 years ago

8 0

Answer:

The square root of -100 is 10i.

Step-by-step explanation:

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(x^2y^3) = (xy^a)^b

Rainbow [258]

Answer:

C. $\frac{3}{2}$

Step-by-step explanation:

To find the value f b, we need to compare the exponents.

The given exponential equation is:

$( {x}^{2} {y}^{3} )^{3} = ( {x} {y}^{a} )^{b}$

Recall and apply the following rule of exponents.

$( {x}^{m} )^{n} = {x}^{mn}$

We apply this rule on both sides to get:

${x}^{2 \times 3} {y}^{3 \times 3} = {x}^{b} {y}^{ab}$

Simplify the exponents on the left.

${x}^{6} {y}^{9} = {x}^{b} {y}^{ab}$

Comparing exponents of the same variables on both sides,

$b = 6 \: and \:\: ab = 9$

$\implies \: 6b = 9$

Divide both sides by 6.

$b = \frac{9}{6}$

$b = \frac{3}{2}$

4 0

2 years ago

Suppose a student usually gets 5.28 hours of sleep. A teacher wants the student to get 8 hours of

Anon25 [30]

The answer is 66% because you divide 5.28 divided by 8

7 0

2 years ago

The ratio of berries to oranges is 10:1 if there are 25 oranges, how many berries are there?

Kryger [21]

Answer:

250 berries

Step-by-step explanation:

There are 10 berries to every orange there is. It is given that there are 25 oranges. Simply multiply 10 with 25:

10 x 25 = 250

There are 250 berries.

3 0

3 years ago

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Which of the following options represents the graph of the function shown below?

grigory [225]

I think the answer is B but not sure about "11" in A

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3 years ago

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A recipe for chicken noodle soup is shown.

gogolik [260]

Answer: A or 1:4

Step-by-step explanation: Since its 16 servings and the recipe is 8, you just multiply everything by 2. Since 1/2 * 2 = 1 and 2 *2 = 4, it would be 1:4

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2 years ago

Could I get some help? Its simplifying square roots of negative numbers.​

Could I get some help? Its simplifying square roots of negative numbers.