Will mark the brainliest

What is the simplified expression for 4 to the power of negative 3 multiplied by 3 to the power of 4 multiplied by 4 to the powe

Cloud [144]

Answer:

4/3

Step-by-step explanation:

You can simplify the exponent expression using exponent rules. The rules are:

A positive exponent is the number of times the base multiplies by itself.
A negative exponent is the number of times the base divides itself.
Multiplying same bases with exponents is simplified by adding the exponents.
Dividing same bases with exponents is simplified by subtracting the exponents.
A zero exponent always evaluates as 1.

The expression $\frac{4^{-3}3^44^2}{3^54^{-2}}$ can be simplified first using the negative exponent rule to move base with negative exponent to the other part of the fraction.

$\frac{4^{-3}3^44^2}{3^54^{-2}} = \frac{4^{2}3^44^2}{3^54^{3}}$

Now use the multiplication rule to simplify numerator and denominator.

$\frac{4^{2}3^44^2}{3^54^{3}} = \frac{4^{2+2}3^4}{3^54^{3}} = \frac{4^{4}3^4}{3^54^{3}}$

Finally, use the division rule to reduce the fraction.

$\frac{4^{4}3^4}{3^54^{3}}= 4^{4-3} 3^{4-5} = 4*3^{-1} = \frac{4}{3}$

5 0

4 years ago

Read 2 more answers

On Thursday, a local hamburger shop sold a combined total of 234 hamburgers and cheeseburgers. The number of cheeseburgers sold

Ratling [72]

Hey there! I'm happy to help!

Let's call the hamburgers h and the cheeseburgers c.

h+c=234

c=2h

Let's plug this value of c into the first equation to solve for h.

h+2h=234

3h=234

Divide both sides by 3.

h=78

Therefore, 78 hamburgers were sold on Thursday.

Have a wonderful day! :D

4 0

4 years ago

1. A number that is a factor of two or more numbers is a ________________.

BARSIC [14]

Hi! Here are my answers for this:

1. common factor
2. common multiple
3. divisible
4. pattern
5. term

I hope that helps!

6 0

4 years ago

PLEASE ANSWER ALL I WILL MARK AS BRAINLIEST

dybincka [34]

Answer:

Q10. 21 doses; Q 11. 21 doses; Q12. 42 bottles

Step-by-step explanation:

Question 10

(a) Calculate the total ounces

$\text{Total ounces} = \text{7 da} \times \dfrac{\text{3 times}}{\text{1 da}} = \dfrac{\frac{1}{2}\text{ oz}}{\text{1 time}}= \text{10.5 oz}$

(b) Calculate the number of doses

$\text{Number of doses} = \text{10.5 oz } \times \dfrac{\text{1 dose}}{\frac{1}{2}\text{ oz}} = \textbf{21 doses}$

Question 11

$\text{Number of doses} = \text{7 da} \times \dfrac{\text{3 doses}}{\text{1 da}} = \textbf{21 doses}$

Question 12

(a) Convert ounces to litres

$\text{Volume} = \text{2 oz} \times \dfrac{\text{29.57 mL}}{\text{1 oz}} \times \dfrac{\text{1 L}}{\text{1000 mL}} = \text{0.05914 L}$

(b) Calculate the number of bottles

$\text{No of bottles} = \text{2.5 L} \times \dfrac{\text{1 bottle}}{\text{0.059 14 L}} = \textbf{42 bottles}$

3 0

3 years ago

Shondra found large candles on sale at her favorite store. She has a large family and many friends, so she bought as many of the

Kisachek [45]

The trunk of the car is shaped like a rectangular prism whose volume is length * width * height.

The volume of the trunk is LWH = 3 ft * 4 ft * 2 ft = 24 ft^3

The volume of a cube is the cube of the side (edge)
.
Each cubic box has volume V = s^3 = (1 ft)^3 = 1 ft^3

Now we divide the volume of the trunk by the volume of each cube box.

$\dfrac{24 ft^3}{1 ft^3} = 24$

Answer: She can fit 24 boxes in her trunk.

5 0

3 years ago