You mean "how many divisors of \(8^6.9^{20}.10^{18}\) are pefect squares"?
\(A=8^6.9^{20}.10^{18}=2^{18}.3^{40}.2^{18}.5^{18}=2^{36}.3^{40}.5^{18}=\left(2^{18}.3^{20}.5^9\right)^2\)
\(B=2^{18}.3^{20}.5^9\)
\(B\) has \(\left(18+1\right).\left(20+1\right).\left(9+1\right)=3990\) divisors, so total number of cases are \(3990\)
A rectangle has a length of 60cm and a width of 30cm. It is cut into 2 indentical squares, 2 identical rectangles and a shaded small square. Find the area of the shaded square.
Find the area of the shaded square.
1 How many triples of integers (a,b,c) are there such that
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2
Let a, b and c be positive integers. The sum of 160 and the square of a is equal the sum of 5 and the square of b. The sum of 320 and the square of a is equal to the sum of 5 and the square of c, a is
A box contains 50 blue square cards whose the side length are 2 cm, 4 cm, 6 cm, ..., 100 cm, respectively and 50 red square cards with side lengths are 1 cm, 3 cm, 5 cm, ..., 99 cm, respectively. The total area of the blue cards is greater than the total area of the red care is .... cm2
Thực hiện phép tính:
\(\frac{1+2.3^6}{2^3.3^6-2^3.5^3}-\frac{1+3^6}{8.\left(9^3-125\right)}-\frac{5^3}{18^3-10^3}\)
A square and a triangle have equal perimeters. The lengths of three sides of the triangle are 6.2cm, 8.3cm and 9.5cm. The area of the square is...
Given that ABCD is a rectangle with AB = 12 cm, AD = 6 cm. M and N are respectively midpoint of segments BC and CD. Find the area of triangle AMN in square centimeters.
1. 6x(x - 10) - 2x+20=0 6. 3x2 - 6x+3=0
2. 3x2(x - 3) + 3(3 - x)=0 7. 4x2 - 10x+2=0
3. x2 - 8x+16=2(x -4) 8. x2 - 12x -18=0
4. x2 - 16 + 7x ( x+4)=0 9. 3x2 - 10x+3=0
5. x2 - 13x - 14=0 10. 5x2 - 10x+10=0
How many numbers ranging from 1 to 200 are multiples of 5 and divisible by 3?