Prove that the value of the expression: (125^2+25^2)(5^2-1) is divisible by 39
2 answers:
Answer:
10000*39
Step-by-step explanation:
Simplify the equation fully.
(125 + 25)(5 - 1)
(15625 + 625)(25 - 1)
(16250)(24)
390000
Divide the answer by 39
390000/39 = 10000
Answer:
10000 * 39
Step-by-step explanation:
(125^2+25^2)(5^2-1)
Rewriting
(5^3^2+5^2^2)(5^2-1)
We know that a^b^c = a^ ( b*c)
(5^(3*2)+5^(2*2))(5^2-1)
(5^6+5^4)(5^2-1)
Factor out 5^4
5^4( 5^2 +1)(5^2-1)
5^4 ( 26) (24)
Factor
5^4 ( 13*2) (3*8)
Rearrange the order
5^4 ( 13*3) (2*8)
5^4 *39 *16
625 * 16 * 39
10000 * 39
You might be interested in
Answer:
are not
Step-by-step explanation:
you're welcome!!!!
The bathtub will hold 74.375 ft^3 (or cubic feet) of water. To find the volume of the rectangular prism shape, use the formula v=lwh, which means volume=length*width*height; where * is the symbol for multiplication.
The first one is quadratic function
Step-by-step explanation:
6x+x=34+1
7x=35
x=35/7
x=5
Hence this equation has only one solution
Answer:
Tara is 27 and Adam is 31.
Step-by-step explanation:
Tara: x years old
Adam: x+4
Subtract the five years to get their current age
x-5 and x+4-5
x-5 and x-1
(x-5) + (x-1) = 48
x-5 + x-1 = 48
2x - 6 = 48
2x= 48+6
2x= 54
x= 27
Tara is 27 and Adam is 31