MATHEMATICS HIGH SCHOOL

83. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value of each expression when x = 9, y= 8, and z= 16. In each case, the expression evaluates to a rational number.b. 11√y2z4

Answers

Answer 1

Answer:

Answer:

$2^{(18)/(11)}$

Step-by-step explanation:

The given expression is

$\sqrt[11]{y^2z^4}$

The exponent property $\sqrt[n]{x^ay^b}=x^(a/n)y^(b/n)$

Applying this exponent property, we have

$\sqrt[11]{y^2z^4}\n\n=y^(2/11)z^(4/11)$

Now, the given numeric values are x = 9, y= 8, and z= 16

On substituting these values in the simplified expression, we get

$(2)^(2/11)(16)^(4/11)$

This can be further simplified by writing $16=2^4$

$(2)^(2/11)(2^4)^(4/11)\n\n(2)^(2/11)(2)^(16/11)$

Now, applying the product rule of exponent: $x^a\cdot x^b=x^(a+b)$

$(2)^(2/11+16/11)\n\n=2^{(18)/(11)}$

Related Questions

08.01)Marlow wants to know how many students in his school enjoy watching the TV news. He asks all 27 students in his art class and finds that 30% of his classmates enjoy watching the TV news. He claims that 30% of the school's student population would be expected to enjoy watching the TV news. Is Marlow making a valid inference about his population?No, it is not a valid inference because he asked all 27 students in his art class instead of taking a sample from the school No, it is not a valid inference because his classmates do not make up a random sample of the students in the school Yes, it is a valid inference because he asked all 27 students in his art class Yes, it is a valid inference because his classmates make up a random sample of the students in the school  Question 2 (Multiple Choice Worth 5 points) (08.01)Carl takes a random sample of 100 students in his school and finds that 72% of the sample prefers pizza over burgers. There are 1,500 students in the school. Based on the sample proportion, how many students in the school would be expected to prefer pizza over burgers? 72 100 1,080 1,500
What is the least common multiple (LCM) of 4 and 10?
What is the average of the integers of 25 to 41
Name the property used to make the conclusion. If x=y and y=4, then x=4.
X = {(2, 3), (2, 4), (2, 5), (2, 6)} is x a function and why? no, each ordered pair in this list has the same first element. yes, no two ordered pairs in this list has the same second element. yes, there is more than one ordered pair in this list. no, there is a limited number of ordered pairs in this list.

Round 14494 to the nearest thousand feet

Answers

14,000 because 494 would round down since it is not above 500.

16,900,000 in scientific notation

Answers

16,900,000 in scientific notation is 16.9 times 10^7.

When you move the decimal point to the 1, it goes 7 spaces to the left, so the exponent will be a positive 7.

What is -0.1 + (-513.5) + 513.5?

Answers

Answer:

-0.1

Step-by-step explanation:

Just looking at the expression, -513.5 and 513.5 cancel out because they equal 0. So all you have left is -0.1

Hope this helped! :)

Subtract the fractions and simplify the answer 9- 5 1/3

Answers

9 − 5 1/3

=9−1 6/3

=11/3

=3 2/3

3 2/3
All you have to do is add my answer to 5 1/3 and if it is 9, then it is correct

What is the constant in the expression 8x-2y+48

Answers

48
It is the only number that isnt affected in any way

Clovis wants to make a surprise visit to his uncle who lives out of town. He purchases an airline ticket for $69. There is a 15% sales tax on the price of the airline ticket. In addition he must pay a baggage fee of $20. When he arrives at the airport, Clovis takes a taxi to his uncle's house which is 8 miles from the airport. The taxi fee is $2.50 per mile. If Clovis has spent a total of $123.35 for the airline ticket and taxi, at what percent of his fare did Clovis tip the taxi driver?

Answers

The percentage of Clovis fare which he tipped the driver is; 3.24%

Percentages

According to the question;

The expenses are as follows;

69 + 0.15(69) + 20 + 2.5(8) = $119.35

Hence, the amount Clovis tipped the taxi driver is; $123.35 - $119.35 = $4.

Hence, the percentage of his fare which Clovis tipped the taxi driver is;

4/123.35 × 100% = 3.24%