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3 years ago

Simplify the following expression (w^8)8

Mathematics

1 answer:

Crank3 years ago

7 0

Answer:

w^64

Step-by-step explanation:

(w^8)^8

both of the powers will be multiplied; hence

w^8*8

w^64

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4 years ago

Please help with 7 and 8

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3 years ago

My brainy brother and sister added their ages together and got 15. When they multiplied their ages together, they got 54. How ol

Vinvika [58]

Given:

Sum of ages of brother and sister = 15

Product of their ages = 54

To find:

How old is the older one between the two of them?

Solution:

Let x be the age of brother and y be the age of sister.

Sum of ages of brother and sister = 15

$x+y=15$

$x=15-y$ ...(i)

Product of their ages = 54

$xy=54$

$(15-y)y=54$ [Using (i)]

$15y-y^2=54$

$0=54-15y+y^2$

Splitting the middle term, we get

$54-15y+y^2=0$

$54-9y-6y+y^2=0$

$9(6-y)-y(6-y)=0$

$(6-y)(9-y)=0$

Using zero product property, we get

$(6-y)=0\text{ and }(9-y)=0$

$y=6\text{ and }y=9$

If $y=6$ , then using (i), we get

$x=15-6$

$x=9$

If $y=9$ , then using (i), we get

$x=15-9$

$x=6$

Therefore, the age of older one is 9, the age of younger one is 6 and the difference between their ages is 3.

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4 years ago

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I hope you understand and will help!

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3 years ago