Raise each number to the power outside the parentheses.

$\left( \dfrac{81x^{12}}{3x^3} \right) ^{ \frac{1}{3} } = \\

= \left( 27x^{12-3} \right) ^{ \frac{1}{3} } = \\

= \left( 27x^{9} \right) ^{ \frac{1}{3} } = \\

= \left( 3^3x^{9} \right) ^{ \frac{1}{3} } = \\

= \left( 3^3 \right) ^{ \frac{1}{3} } \times \left( x^{9} \right) ^{ \frac{1}{3} } \\

= \left( 3^{3 \times \frac{1}{3} } \right) \times \left( x^{9 \times \frac{1}{3} }} \right) \\

= 3^1 x^3 \\

= 3x^3


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6 0

3 years ago

How many different committees can be formed from 99 teachers and 3434 students if the committee consists of 33 teachers and 22

xenn [34]

There are 47,124 different committees you can select.

Explanation:
The number of combinations of 9 teachers taken 3 at a time is given by
 $_9C_3=\frac{9!}{3!6!}=84$ 

The number of combinations of 34 students taken 2 at a time is given by
 $_{34}C_2=\frac{34!}{2!32!}=561$ 

Together this makes 84*561 = 47124 combinations.

5 0

4 years ago

Read 2 more answers

Write an equation in slope -intercept form for the line with slope -2/3 and y-intercept 5. Then graph

Karo-lina-s [1.5K]

Answer:

Y=-2/3x + 5

Step-by-step explanation:

5 0

3 years ago

In 1985, American swimmer Tom jager completed a 50- meter freestyle swim in 22.40 seconds. In 1990, he was able to complete the

puteri [66]