9 x 64 = 576 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
30 x 22 = 1 x 4 = 4
(10)3 x (2)2 = 1,000 x 4 = 4,000
4^2 = 16 4^3 = 64 16^5 = 16 x 16 x 16 x 16 x 16 = 256 x 256 x 16 = 1048576 You cannot add the powers in addition operation, but can in multiplication operation. Thus 4^2 x 4^3 = 4^5 = 1024 When a number is written to a power, it is multiplying by itself the power number of times. Thus: 4^2 = 4 x 4 4^3 = 4 x 4 x 4 and: 4^2 x 4^3 = (4 x 4) x (4 x 4 x 4) = 4 x 4 x 4 x 4 x 4 = 4^5 = 4^(2+3)
3x^4 - 12 = 3(x^4 - 4) = 3(x² + 2)(x² - 2)
To find the product of (x+4) and (x^2-3x+2), you need to distribute each term in the first expression to each term in the second expression. This results in x*(x^2-3x+2) + 4*(x^2-3x+2). Simplifying further, you get x^3-3x^2+2x + 4x^2-12x+8. Combining like terms gives you the final answer: x^3+x^2-10x+8.
3 raised to the third power is 3 x 3 x 3 = 27 The smallest number that cane be written as a power of 2,4, or 8 is 256, since 256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 2 to power 8 256 = 4 x 4 x 4 x 4 = 4 to power of 4 256 = 16 x 16 = 16 to power 2
2 to the power of 3 is equivalent to 2 x 2 x 2. 2 x 2 = 4 Then multiply the answer (4) by 2 again, for 8. 2 x 2 x 2 = 8
9 x 64 = 576 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
That's the same as 2/3 x 2/3 x 2/3 x 2/3 x 2/3. Using the symbol "^" for power, you can also say that (2/3)^5 = 2^5 / 3^5.
Evaluate simply means work out. You times the first number by itself. The second number which is is small and beside the top corner of the first number decides how many times the first number gets times by itself. Here are 4 examples: 2 to the power of 4 = 2 x 2 x 2 x 2= 16 3 to the power of 3 = 3 x 3 x 3= 27 4 to the power of 3= 4 x 4 x 4= 64 5 to the power of 5 = 5 x 5 x 5 x 5 x 5= 3125
30 x 22 = 1 x 4 = 4
(10)3 x (2)2 = 1,000 x 4 = 4,000
4^2 = 16 4^3 = 64 16^5 = 16 x 16 x 16 x 16 x 16 = 256 x 256 x 16 = 1048576 You cannot add the powers in addition operation, but can in multiplication operation. Thus 4^2 x 4^3 = 4^5 = 1024 When a number is written to a power, it is multiplying by itself the power number of times. Thus: 4^2 = 4 x 4 4^3 = 4 x 4 x 4 and: 4^2 x 4^3 = (4 x 4) x (4 x 4 x 4) = 4 x 4 x 4 x 4 x 4 = 4^5 = 4^(2+3)
3x^4 - 12 = 3(x^4 - 4) = 3(x² + 2)(x² - 2)
The GCF of 108 and 144 is 36, or 2^2 x 3^2
A similar question can be solved as below : If x to the power 4 plus 1 upon x to the power 4 equals 23 then what will be (x minus 1 upon x) to the power 2 equals what?a2 + b2 = (a + b)^2 - 2ab.so (x^2 )^2 + (1/x2)^2 = (x^2 + 1/x^2)^2 - 2 = 23.so (x^2 + 1/x^2) = 5.therefore(x - 1/x)^2 = (x^2 + 1/x^2) -2 = 5 -2 = 3.