Which of the following is the simplest form of

Ответ:

eylinglez3ovm16v

17.01.2022

Simplest form is $a^{\frac{2}{15} }$ .

Step-by-step explanation:

Given : $\frac{\sqrt[5]{a^{4}}}{\sqrt[3]{a^{2}}}$ .

To find : Which of the following is the simplest form of this expression?

Solution: We have given :

$\frac{\sqrt[5]{a^{4}}}{\sqrt[3]{a^{2}}}$

By the radical rule $\sqrt[a]{b^{c} } = b^{\frac{c}{a}}$ ,

Then

$\frac{\sqrt[5]{a^{4}}}{\sqrt[3]{a^{2}}}$ = $\frac{a^{\frac{4}{5}}}{a^{\frac{2}{3}}}$ .

⇒ $a^{\frac{4}{5} -\frac{2}{3}}$ .

⇒ $a^{\frac{12-10}{15} }$ .

⇒ $a^{\frac{2}{15} }$ .

Therefore, Simplest form is $a^{\frac{2}{15} }$ .

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HyperZ

07.07.2022

Let us try to explain each option one by one.

a) a street has a width of 5 meters

This is quite reasonable as the width of street can be approximately 5 meters.

b. a cat has a mass of 5 grams

The mass of a newborn cat is 99 grams. So no cat can weigh 5 grams, as its too small.

c.a swimming pool has a capacity of 5 liters

5 liters is too small quantity for a small sized swimming pool too.

d. a beetle has a mass of 5 kilograms

A beetle is a small creature measuring mostly in grams.

So answer is option a. a street has a width of 5 meters

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