Answer:
Step-by-step explanation:
Given the expression 4^{-2}•7^{-2}. The following expression are equivalent to given expression on simplification.
Generally from indices, a^-b = 1/a^b. Applying this to the given expression we have:
4^{-2}•7^{-2} = 1/4^2 • 1/7^2
= 1/(4×4) • 1/(7×7)
= 1/16 • 1/49
= 1/(16×49)
= 1/784
Hi there, your picture in incomplete! Its cut off so we can't view the rest of it :)
Answer:
<u><em>Question 1:</em></u>
The smallest 5-digit no. is <u><em>10,000</em></u>
<u>The product of its prime factors is:</u>
=> 10,000 = 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5
<u><em>Question 2:</em></u>
The prime factors of 1729 are:
=> 1729 = 7 × 13 × 19
The relation between their 2 consecutive prime factor is that when they both are subtracted, they give the result 6
<u><em>Such as :</em></u>
=> 13-7 = 6
=> 19-13 = 6
Hope this helps!
Don't hesitate asking anything regarding this question!
Answer:
y/x = (a + b) / (m + n)
Step-by-step explanation:
-(xb − ym) = -yn + xa
Distribute:
-xb + ym = -yn + xa
Combine like terms:
ym + yn = xa + xb
Factor:
y (m + n) = x (a + b)
Rearrange:
y/x = (a + b) / (m + n)
Answer: 450 kcal
Step-by-step explanation:
So you know the food is 360 kcal per 1 cup
by setting up a proportion, you can relate the number of kcal to cups.
we can simplify the fraction to this:
by cross multiplying you can solve the proportion
(360) * (5/4) = (?) * (1)
simplifying gets this:
450 = ?
so he ate 450 kcal total
