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S_A_V [24]
2 years ago
5

Which expression is equivalent to (x4/3x2/3)1/3

Mathematics
1 answer:
Zolol [24]2 years ago
6 0

Given

The expression is given in the question

=(x^{\frac{4}{3}}\times\ x^{\frac{2}{3}})\ ^{\frac{1}{3}}

Find the expression is equivalent to the above expression.

To proof

As expression is given in the question

=(x^{\frac{4}{3}}\times\ x^{\frac{2}{3}})\ ^{\frac{1}{3}}

By using the properties

product of powers property tells us that when you multiply powers with the same base you just have to add the exponents.

i.e

x^{a} .x^{b} = x^{a +b}

Now using this in above

we get

=x^{\frac{6}{3}\times\frac{1}{3}}

Also by using the property

(x^{a} )^{b} = x^{ab}

We get=x^{\frac{6}{9}}

Therefore expression becomes

= x^{\frac{2}{3}}

Hence proved








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Answer:The surface area of the cube is 100 cm.

Step-by-step explanation:

So since a cube has six faces and all of its lengths are equal. we could use the equation.

10^2 *6= 100 *6= 600

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2 years ago
Need An Answer ASAP ... THANK YOU !!!
lozanna [386]

Answer:

∠EFG = 48°

Step-by-step explanation:

As FH bisects ∠EFG , ∠EFH = ∠HFG .

We know that ∠EFH = (-5x + 89)° . So ∠HFG = ∠EFH = (-5x + 89)°

Also, ∠HFG  + ∠EFH = ∠EFG

=> 2(-5x + 89)° = (61 - x)°

=> -10x + 178 = 61 - x

=> 10x - x = 178 - 61

=> 9x = 117

=> x = 117 / 9 = 13

Putting the value of 'x' in ∠EFG gives :-

(61 - x)° = (61 - 13)° = 48°

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If 4 adult elephants eat 320 pounds of food, how many ounces of food should the zookeeper purchase?
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Step-by-step explanation:

5 0
3 years ago
1. Rhode Island is the smallest state. It has an area of
Viktor [21]

Answer:

663.4

Step-by-step explanation:

1.55 x 10 = 15.5

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5 0
2 years ago
Find the area of rectangle with sides 2 5/6 and 4 4/7
g100num [7]
<h3><u>Given</u><u> </u><u>:</u></h3>

  • Length = \sf2\dfrac{5}{6} cm.
  • Breadth = \sf4\dfrac{4}{7} cm.

<h3><u>To</u><u> </u><u>Find</u><u> </u><u>:</u></h3>

The area of rectangle.

<h3><u>Solution</u><u> </u><u>:</u></h3>

Area of rectangle = Length × Breadth

\sf=2\dfrac{5}{6}\times4\dfrac{4}{7}

\sf=\dfrac{17}{6}\times\dfrac{25}{7}

\sf=\dfrac{17\times25}{6\times7}

\sf=\dfrac{425}{42}

<h3><u>Area</u><u> </u><u>of</u><u> </u><u>rectangle</u><u> </u><u>is</u><u> </u><u>4</u><u>2</u><u>5</u><u>/</u><u>4</u><u>2</u><u> </u><u>cm</u><u>²</u><u>.</u></h3>
4 0
3 years ago
Read 2 more answers
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