Prove the divisbility of the following numbers.
1 answer:
Answer:
3^16
Step-by-step explanation:
12^8 * 9^12
Rewrite 12 as 3*4 and 9 as 3*3
(3*4)^8 * (3*3)^12
We know that (ab)^c = a^c * b^c
3^8 4^8 3^12 3^12
We can write 4 as 2^2
3^8 2^2^8 3^12 3^12
We know a^b^c = a^(b*c)
3^8 2^(2*8) 3^12 3^12
3^8 2^(16) 3^12 3^12
We also know that a^b *a^c *a^d = a^(b+c+d)
2^(16) 3^8 3^12 3^12
2^(16) 3^(8+12+12)
2^16 3^(32)
But we need 6 ^16 so we will need a 3^16 3^32 = 3^16 * ^16 (16+16=32)
2^16 *3^16 *3^16
Remember a^b*c^b = (ac)^b
(2*3)^16 3^16
6^16 3^16
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Step-by-step explanation:
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I would reccomend the app photo math its really easy to use and it answers questions like this.
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Answer:
4 mile= 40
12 mile= 120
it will take him 80
Step-by-step explanation:
Answer:
2 units
Step-by-step explanation:
Vpyramid = ⅓ x base area x height
70 = ⅓ x base area x 6
70 = 2 x base area
base area = 70/2 = 35 units
Vprism = base area x height
70 = 35 x height
height = 70/35 = 2 Units