By definition of powers, x to the power y = x*x*x*........y times x to the power 1 = x Therefore, 10 to the power 1 = 10.
gcf(35x², 7xy², 21x²y²) = 7x 35x² = 5 times 7 times x² 7xy² = 7 times x times y² 21x²y² = 3 times 7 times x² times y² hcf = 7 times x = 7x (I've written the multiplication as times instead of using the × symbol to avoid confusion with the unknown x.)
3x-y=8 x+y=12 3x(12-x)=8 3x-12+x=8 4x-12=8 4x=20 x=5 x+y=12 5+y=12 y=7
-12 x8 y8 / 3x4 y2 = -4 x4y6 First: divide -12 by 3 which equals -4 Second: divide x to the power of 8 by x to the power of 4 by subtracting the two powers ( 8-4 ) which will equal x to the power of 4 Third: divide y to the power of 8 by y to the power of 2 by subtracting the two powers ( 8-2 ) which will equal y to the power of 6
x=5y-12 where x is your answer
x to the 5th power times y to the fourth power
y*x8
369
y to the 36 power
x has been increased 3.5 times and so y is now 3.5 times 12 = 42
x squared times y to the negative four thirds power
If y varies directly as x and y is 36 when x is 9, then y is always four times the value of x. So if y is 12, then x is 3.
By definition of powers, x to the power y = x*x*x*........y times x to the power 1 = x Therefore, 10 to the power 1 = 10.
gcf(35x², 7xy², 21x²y²) = 7x 35x² = 5 times 7 times x² 7xy² = 7 times x times y² 21x²y² = 3 times 7 times x² times y² hcf = 7 times x = 7x (I've written the multiplication as times instead of using the × symbol to avoid confusion with the unknown x.)
x^y * x^z = x^(y+z) Therefore x^9 * x^8 = x^17
12y2
3x-y=8 x+y=12 3x(12-x)=8 3x-12+x=8 4x-12=8 4x=20 x=5 x+y=12 5+y=12 y=7