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I am Lyosha [343]

1 year ago

15

Simplify the expression. Use ^ before exponents and parenthesis around fractional exponents: x to the one-half power would be wr

itten x^(1/2).
(81/2 • 51/3)2 =

1 answer:

FromTheMoon [43]1 year ago

6 0

Step-by-step explanation:

$(8 {}^{ \frac{1}{2} } \times 5 {}^{ \frac{1}{3} } ) {}^{2} = 8 {}^{ \frac{1}{2} \times 2 } \times 5 {}^{ \frac{1}{3} \times 2}$

$= 8 \times 5 {}^{ \frac{2}{3} }$

So we get

8*5^(2/3))

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Katarina [22]

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gulaghasi [49]

For the first question
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For the second question.
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3 years ago

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kati45 [8]

Answer:

The answer is Yes

Step-by-step explanation:

1) 2/5 = 18/45

2x45 = 18x5

90 = 90 True

2) 6/9 = 54/81

6x81 = 54x9

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3 years ago

If in a triangle ac= 15 and angle abc=60 degrees what is ab?

marin [14]

Answer:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property, sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 unitsStep-by-step explanation:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property, sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 units

3 0

3 years ago

Four friends shared 1/2 of one carton of orange juice and 1/4 of another carton of apple juice. What fraction of each carton of

Natalka [10]

Answer:

$\dfrac{1}{16}$

$\dfrac{1}{32}$

$\dfrac{3}{32}$

Step-by-step explanation:

So in the first carton of orange juice 4 friends shared the juice.

This can be shown as:

$\dfrac{(\dfrac{1}{2})}{4}$

$\dfrac{(\dfrac{1}{2})}{4}=\dfrac{1}{16}$

The 4 friends got 1/16 of the carton each in the first carton of OJ.

Next for the second carton, it can be shown as:

$\dfrac{(\dfrac{1}{4})}{4}$

$\dfrac{(\dfrac{1}{2})}{4}=\dfrac{1}{32}$

The 4 friends got 1/32 of the carton each in the first carton of OJ.

Now to see how much they got in total each, we simply add 1/16 to 1/32

$Total OJ each = \dfrac{1}{16}+\dfrac{1}{32}$

$Total OJ each = \dfrac{3}{32}$

Each friend got a total of $\dfrac{3}{32}$ each from both cartons of OJ.

3 0

3 years ago