Convert the expression (√5)(∛5) to exponential form. Show your work.

Mathematics

1 answer:

tresset_1 [31]3 years ago

7 0

Answer:

${5}^{ \frac{5}{6}}$

Step-by-step explanation:

$( \sqrt{5} )( \sqrt[3]{5}) \\ \\ = ({5}^{ \frac{1}{2} } ).({5}^{ \frac{1}{3} } ) \\ \\ = {5}^{ \frac{1}{2} + \frac{1}{3} } \\ \\ = {5}^{ \frac{3 + 2}{2 \times 3}} \\ \\ \huge \red{ \boxed{ = {5}^{ \frac{5}{6}} }}$

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The sum of two consecutive integers is one less than three times the smaller integer. Find the two integers.

Minchanka [31]

The small number is 2.

The large number is 3.

<u>Step-by-step explanation:</u>

Let the two consecutive numbers be x and x+1.

x be the small integer.
x+1 be the large integer.

The sum of these two consecutive integers = small integer + large integer

The sum of these two consecutive integers is x+x+1 = (2x+1)

It is given that,

The sum of two consecutive integers is one less than three times the smaller integer.
This means that, (2x+1) is one less than three times the smaller integer.
Here, the small integer is represented as x.

<u>Therefore, it can determined that :</u>

(2x+1) = 3x-1

Keeping x term on one side and constants on other side,

3x-2x = 1+1

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3 years ago

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Answer:

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