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3 years ago

Can you help me with this?

Mathematics

2 answers:

maksim [4K]3 years ago

7 0

It's answer choice c

fgiga [73]3 years ago

7 0

The answer would be choice "C"

There are 3 feet in one yard, so let's find the minimum and maximum feet it could be.

Minimum: 5 x 3 = 15 feet, the problem says that it is BETWEEN 5 and 6 yards, so it has to be over 15 feet, which eliminates choice "B".

Maximum: 6 x 3 = 18 feet, so it would have to be less then 18 feet, which eliminates choices "A" and "D", leaving just "C" left.

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Which expression is equivalent to (x superscript four-thirds baseline x superscript two-thirds Baseline ) superscript one-third

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<h3>The equivalent expression is:</h3>

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

Solution:

Given expression is:

$\displaystyle (x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}}$

We have to find the equivalent expression

We can simplify the above expression using law of exponents

Use the following law of exponents:

$a^m \times a^n = a^{m+n}$

Therefore,

$\displaystyle (x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}} = (x^{\frac{4}{3}+\frac{2}{3}})^{\frac{1}{3}}\\\\Simplify\\\\\displaystyle (x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}} = (x^2)^\frac{1}{3}$

Use another law of exponent

$(a^m)^n = a^{mn}$

Therefore,

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

Thus the equivalent expression is found

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