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4 years ago

An expression is shown below (x^4/3)(x^2/3)

Mathematics

2 answers:

Nitella [24]4 years ago

7 0

$( x^\frac{4}{3}) (x^ \frac{2}{3}) = x^{ \frac{4}{3} + \frac{2}{3} }= x ^\frac{6}{3} = x^2$

Crank4 years ago

4 0

<span>(x^4/3)(x^2/3) =

</span><span>When you multiply powers with the same base, write the ame base and add the exponents.
</span>Here the common base is x. The exponents are 4/3 and 2/3. The exponents are added.

= x^(4/3 + 2/3)

= x^(6/3)

= x^2

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3 years ago

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Answer: There are 34.35 liters left in the test tube.

Step-by-step explanation:

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Depth of the tube = 9 inches

Circumference of base=4 inches

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Now, we need to find the volume of tube is given by

$\text{ Volume of test tube }=\pi r^2h\\\\\text{ Volume of test tube }=\frac{22}{7}\times \frac{7}{11}\times \frac{7}{11}\times 9\\\\\text{ Volume of test tube }=\frac{126}{11}=11.45\ inches^3$

Since we have also given that,

Of 1 cubic inch of space holds 3 liters of water,

So,

$1\text{ cubic inch}=3\text{ liters}\\\\11.45\text{ cubic inches}=3\times 11.45=34.35\text{ liters}$

Hence, there are 34.35 liters left in the test tube.

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3 years ago