Answer:
The answers of the questions are given below :
- a) = 4096
- b) = 1.25
- 3) = m²
- 4) = r⁴s³
- 5) = a⁸/b¹²
Step-by-step explanation:
Question. 1
>> 4⁶
- Hence, the answer is 4096.
Question. 2
>> (2⁶/5³)^-⅓
![\begin{gathered} \qquad\implies{\bigg(\frac{2^6}{5^3}\bigg)^{ - \frac{1}{3}}}\\ \\ \qquad\implies{\bigg(\frac{64}{125}\bigg)^{ - \frac{1}{3}}}\\ \\\qquad\implies{\bigg( \frac{1}{\frac{64}{125}}\bigg)^{ \frac{1}{3}}} \\ \\ \qquad\implies{\bigg( 1 \times \frac{125}{64} \bigg)^{ \frac{1}{3}}} \\ \\ \qquad\implies{\bigg( \frac{125}{64} \bigg)^{ \frac{1}{3}}} \\ \\\qquad\implies{\bigg( \sqrt[3]{ \frac{125}{64}}\bigg)} \\ \\ \qquad\implies{\bigg( \dfrac{5}{4} \bigg)} \\ \\ \qquad\implies{\Big( 1.25\Big)}\end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cqquad%5Cimplies%7B%5Cbigg%28%5Cfrac%7B2%5E6%7D%7B5%5E3%7D%5Cbigg%29%5E%7B%20-%20%5Cfrac%7B1%7D%7B3%7D%7D%7D%5C%5C%20%20%5C%5C%20%5Cqquad%5Cimplies%7B%5Cbigg%28%5Cfrac%7B64%7D%7B125%7D%5Cbigg%29%5E%7B%20-%20%5Cfrac%7B1%7D%7B3%7D%7D%7D%5C%5C%20%20%5C%5C%5Cqquad%5Cimplies%7B%5Cbigg%28%20%5Cfrac%7B1%7D%7B%5Cfrac%7B64%7D%7B125%7D%7D%5Cbigg%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%5Cimplies%7B%5Cbigg%28%201%20%5Ctimes%20%20%5Cfrac%7B125%7D%7B64%7D%20%5Cbigg%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%7D%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%5Cimplies%7B%5Cbigg%28%20%5Cfrac%7B125%7D%7B64%7D%20%5Cbigg%29%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%7D%7D%20%5C%5C%20%20%5C%5C%5Cqquad%5Cimplies%7B%5Cbigg%28%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B125%7D%7B64%7D%7D%5Cbigg%29%7D%20%20%5C%5C%20%20%5C%5C%20%5Cqquad%5Cimplies%7B%5Cbigg%28%20%5Cdfrac%7B5%7D%7B4%7D%20%5Cbigg%29%7D%20%5C%5C%20%20%5C%5C%20%5Cqquad%5Cimplies%7B%5CBig%28%201.25%5CBig%29%7D%5Cend%7Bgathered%7D)
- Hence, the answer is 1.25.
Question. 3
>> (m^2/3)•(m^4/3)
Question. 4
>> (r¹² s⁹)^⅓
- Hence, the answer is r⁴s³.
Question. 5
>> (a⁴/b⁶)^2
- Hence, the answer is a⁸/b¹².
Answer:
your answer to this is 68/25
2 of the 8 slices of pie A were sold (2/8)
3 of the 6 slices of pie B were sold (3/6)
Both of these fractions can be simplified
2/8 --> 1/4
3/6 --> 1/2
In order to add these two fractions, they must have a common denominator. This can be accomplished by multiplying the second fraction by 2
1/2 --> 2/4
Now we can add the two
1/4 + 2/4 = 3/4
Therefore 3/4 of the pie has been sold. In order to find out how much remains, we must subtract the amount that has been sold from the original amount of pie (2)
2 - 3/4 = 1 1/4 = 1.25
Jason's part-time job pays him $105 a week
He got an amount of 105 dollars per week
Thhe cost price of the Dit bike = $900
The saving amount he had = $325
So, The amount he require more is the difference in the cost price of the bike to the saving amount
Require amount = 900-325
Require Amount = $575
Since he get the $105 per week
We need to find the number of weeks to get an amount of $575
So, divide the total required amount by the amount in one week he get
So, he neeed to wokr for 6 weeks to pay for the dirt bike
Answer : 6 weeks
Answer: Mr Smith bought 7 pepperoni pizza
Step-by-step explanation:
Step 1
cost of cheese pizza =$11
pepperoni pizza cost =$12.50
let number cheese pizza be represented as c
and number of pepperoni pizza be represented as p
such that the total number of pizza bought which equals 13 can be represented as
c+ p= 13
and total cost of both pizza can be expressed as
11c+ 12.50p =153.50
Step 2 Solving
c+ p= 13
11c+ 12.50p =153.50
By elimination method, Multiply equation 1 by 11 and subtract the new equation from equation 2
11c+ 12.50p =153.50
11c+ 11p=143.
1.5p =10.5
p= 10.5/ 1.5 =7
c+ p= 13
c= 13-p =13-7=6
Therefore Mr Smith bought 6 cheese pizza and 7 pepperoni pizza
