Question
If $1176=2^\text{a}\times3^\text{b}\times7^\text{c},$ find a, b and c.
✓
Answer
Given that 2, 3 and 7 are factors of 1176.
Taking out the LCM of 1176, we get $2^3\times3^1\times7^2=2^\text{a}\times3^\text{b}\times7^\text{c}$
By commparing, we get
$\text{a}=3,\ \text{b}=1$ and $\text{c}=2.$
Taking out the LCM of 1176, we get $2^3\times3^1\times7^2=2^\text{a}\times3^\text{b}\times7^\text{c}$
By commparing, we get
$\text{a}=3,\ \text{b}=1$ and $\text{c}=2.$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
In the adjoining figure, show that
$\angle\text{A}+\angle\text{B}+\angle\text{C}+\angle\text{D}+\angle\text{E}+\angle\text{F}=360^\circ.$
→$\angle\text{A}+\angle\text{B}+\angle\text{C}+\angle\text{D}+\angle\text{E}+\angle\text{F}=360^\circ.$
Let a be a rational number and b be an irrational number. Is ab necessarily an irrational number? Justify your answer with an example.
The mean weight of 25 students of a class is 52kg. If the mean weight of the first 13 students of the class is 48kg and that of the last 13 students is 55kg, find the weight of the 13th student.
Evaluate:
$\frac{2^0+7^0}{5^0}$
→$\frac{2^0+7^0}{5^0}$
Using factor theorem, show that g(x) is a factor of p(x), when
p(x) = x4 - x2 - 12, g(x) = x + 2
p(x) = x4 - x2 - 12, g(x) = x + 2
A cylindeical tub of radius 12cm contains water to a depth of 20cm. A sphrical iron ball is dropped into the tub and thus the leval of water is raised by 6.75cm. What is the radius of the ball.
Simplify the following:
$\frac{3\text{n}\times9^{\text{n}+1}}{3^{\text{n}-1}\times9^{\text{n}-1}}$
→$\frac{3\text{n}\times9^{\text{n}+1}}{3^{\text{n}-1}\times9^{\text{n}-1}}$
In figure, rays AB and CD intersect at O.
Determine x when y = 40°.
Determine x when y = 40°.
Show how $\sqrt 5 $ can be represented on the number line.
→In figure, OA and OB are opposite rays: If y = 35°, what is the value of x?
