All categories

3 years ago

Evaluate (16/81) to the power 3/4

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

5 0

This reduces nicely if you first notice that 16/81 = (2/3)^4.

Then use the properties of powers (of positive real numbers):

(16/81)^(3/4) = ((2/3)^4)^(3/4) = (2/3)^3 = 8/27

You might be interested in

Find the percent: 80% of 8

8090 [49]

Answer:

6.4

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Please help i'm stuck on geometry

Elenna [48]

Which of the models are the questions referring to?

4 0

3 years ago

Give the most precise selection

Art [367]

Answer:

I think square

Cause it is having 4 sides and in ur question the were 4 vertuces so i think its a square

8 0

3 years ago

Read 2 more answers

The area of a square rug is 169ft^2. How long is each side of the rug?

jek_recluse [69]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{13 \: ft}}}}}$

Step-by-step explanation:

$\star{ \sf{ \: Area \: of \: a \: square \: rug \: ( \: A \: ) \: = \: 169 \: {ft}^{2} }}$

$\sf{ \underline{Finding \: the \: length \: of \: a \: square \: ( \: l \: )}}$

$\boxed{ \sf{Area \: of \: a \: square \: = \: {l}^{2} }}$

$\hookrightarrow{ \sf{169 = {l}^{2} }}$

$\hookrightarrow{ \sf{ {l}^{2} = 169}}$

$\hookrightarrow{ \sf{ \sqrt{ {(l)}^{2} } = \sqrt{169} }}$

$\hookrightarrow{ \text{length \: = \: 13 \: ft}}$

$\text{Hope \: I \: helped!}$

$\text{Best \: wishes !!}$

~ $\text{TheAnimeGirl}$

6 0

3 years ago

Which of the following expressions is equal to 2x2 + 18 ?

ehidna [41]

<h3>Answer: Choice C. (2x - 6i)(x + 3i)</h3>

Work Shown:

2x^2 + 18

2(x^2 + 9)

2(x - 3i)(x + 3i) .... see note below

(2x - 6i)(x + 3i)

Note: I used the rule that a^2 + b^2 = (a - bi)(a + bi). I recommend FOILing out the right hand side to confirm the equation is true. You'll use the idea that i^2 = -1.

4 0

3 years ago