What is the first step you should take to solve the following expression 2-16÷4×3(3+2)2+1

84. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value

Yakvenalex [24]

Answer:

a) 1/27

b) 16

c) 1/8

Step-by-step explanation:

a) $x^{-3/2}$

One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

$x^{-3/2}=\frac{1}{x^{3/2} }$

And now, solving for x = 9 we have:

$\frac{1}{x^{3/2}}=\frac{1}{9^{3/2} } =\frac{1}{27}$

b) $y^{4/3}$

This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

$y^{4/3}=8^{4/3}=16$

c) $z^{-3/4}$

Using the same property we used in a) we have:

$z^{-3/4}=\frac{1}{z^{3/4} }$

And now, solving for z = 16 we have:

$\frac{1}{z^3/4} } =\frac{1}{16^{3/4} } =\frac{1}{8}$

4 0

3 years ago

What is the product of 8/15 and 2 3/4?

Black_prince [1.1K]

The correct answer is 1 7/15.

4 0

3 years ago

Choose the graph of the inequality - 1 > x choose 1 answer

tresset_1 [31]

Answer:

b

Step-by-step explanation:

what ever the number is, it has to be on THAT number. The alligator thing think of it as a arrow it points to the direction, follow the arrow

7 0

3 years ago

Read 2 more answers

The admission to a local carnival is $6.50 per person and $2.50 for each ride. Jenna wants to know much it will cost her to ride

IrinaK [193]

6.50 + 2.50r = t

6.50 is being paid only once, while she pays 2.50 for each ride, or r. t is the total cost of the two when added together.

6 0

3 years ago

Read 2 more answers

Problem 2. Smasher Van bound for Koronadal City leaves Polomolok every 15 minutes

astraxan [27]

Answer:

5. c. Every 1 hour

6. c. 4 times

7. b. 3 times

Step-by-step explanation:

The given parameters of the rate of departure of the two vans are;

The rate of departure of Smasher Van bound for Koronadal City = Every 15 minutes

The rate of departure of Nustafa Van= Every 20 minutes

5. The time, 'x', when the two vans leave at the same time is given by the Lowest Common Multiple (LCM) of 15 and 20 as follows;

Multiples of 15 = 15, 30, 45, 60

Multiples of 20 = 20, 40, 60

Therefore, the LCM of 15 and 20 = 60

The time, when the two vans leave at the same time = Every 60 minutes = Every 1 hour

The time, when the two vans leave at the same time = Every 1 hour

6. The number of times the Smasher Van leaves Polomolok so that the two vans leave together is given by the number of multiples 15 minutes in 60 minutes = 60 minutes/(15 minutes) = 4 times

7. The number of times the Nustafa Van leaves Polomolok so that the two vans leave together is given by the number of multiples 20 minutes in 60 minutes = 60 minutes/(20 minutes) = 3 times.

7 0

3 years ago