Round 164.58 to the nearest whole number.

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

Andrei [34K]

<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

5 0

3 years ago

Read 2 more answers

A man bought a dozen boxes with 24 highlighter pens inside for $8 each box. He repacked five of those boxes into packages of 6 h

svetoff [14.1K]

He made $72

Hope this helps! :)

4 0

3 years ago

Read 2 more answers

Trey is out shopping and sees that striped shirts are on sale for $25.00 each, and plaid pants are on sale for $22.50 each. He b

Alenkasestr [34]

Answer:

$140

Step-by-step explanation:

You can add up the prices to find the total. Most of us find it easier to multiply the price by the number of items.

cost of 2 shirts = (2)($25.00) = $50

cost of 4 pants = (4)(22.50) = $90

The total was $50 +90 = $140.

8 0

3 years ago

I need help again. :( plzz help

makkiz [27]

Answer:

4 white horses.

Step-by-step explanation:

First, you need to find the total of the first set of horses (basically how many total were in the table).

~ 3+2+9+1 = 15

Next we need to find how many horses were white horses out of these 15 horses. In short the proportion would be White Horses/Total Horses.

~ $\frac{3}{15}$ (or $\frac{1}{5}$ , simplified)

Now, all we need to do is create the proportion with 20 as the denominator (in this case, 20 will be the total horses, and we just need to find X, or how many horses are expected to be white out of all of those horses). The proportion will look somewhat like this:

~ $\frac{1}{5}$ = $\frac{x}{20}$

The final step is to multiply across (1x20) then divide that number by the 5 to find X.

~ 20÷5 = 4

Anyways, that means it would be expected to have 4 white horses out of 20 total. Hope this helped ^-^

3 0

3 years ago

Which expressions are equivalent to this expression?

Alja [10]

The answer is C. 3(y + z)

Proof:
y + y + y + 3z
Add same terms:
3y + 3z
Factor out 3:
3(y + z)

8 0

4 years ago

Round 164.58 to the nearest whole number.​

Round 164.58 to the nearest whole number.