Answer:
a) 3⁵5³.
b) 1
c) 23³
d) 41·43·53
e) 1
f) 1111
Step-by-step explanation:
The greatest common divisor of two integers is the product of their common powers of primes with greatest exponent.
For example, to find gcd of 2⁵3⁴5⁸ and 3⁶5²7⁹ we first identify the common powers of primes, these are powers of 3 and powers of 5. The greatest power of 3 that divides both integers is 3⁴ and the greatest power if 5 that divides both integers is 5², then the gcd is 3⁴5².
a) The greatest common prime powers of 3⁷5³7³ and 2²3⁵5⁹ are 3⁵ and 5³ so their gcd is 3⁵5³.
b) 11·13·17 and 2⁹3⁷5⁵7³ have no common prime powers so their gcd is 1
c) The only greatest common power of 23³ and 23⁷ is 23³, so 23³ is the gcd.
d) The numbers 41·43·53 and 41·43·53 are equal. They both divide themselves (and the greatest divisor of a positive integer is itself) then the gcd is 41·43·53
e) 3³5⁷ and 2²7² have no common prime divisors, so their gcd is 1.
f) 0 is divisible by any integer, in particular, 1111 divides 0 (1111·0=0). Then 1111 is the gcd
Answer:
X=6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
15=7x+3−5x
15=7x+3+−5x
15=(7x+−5x)+(3)(Combine Like Terms)
15=2x+3
15=2x+3
Step 2: Flip the equation.
2x+3=15
Step 3: Subtract 3 from both sides.
2x+3−3=15−3
2x=12
Step 4: Divide both sides by 2.
2x2=122
x=6
Answer:
x=6
Answer:
Step-by-step explanation:
hello :
16t²+120 = y
16t² = y -120 so : t² = (y-120)/16
if : y-120 ≥ 0 t = ±√((y-120)/16)
Answer:
11x-5
Step-by-step explanation:
Answer:
The 4th one: 3^2 + 13^2 = x^2
Step-by-step explanation:
The <u>pythagorean theorem</u> is a^2 + b^2 = c^2. In this case 3 is a, 13 is b, and x is c.
happy to help
