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Why is 10 to the power 1 equal to 10?
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.
Greatest common factor of 35x power 2 and 7xy power 2 and 21x power 2y power 2?
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.)
Three times one number minus a second is eight and the sum of the numbers is twelve?
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
What is the result if you divide negative 12 x to the 8th power Y to the 8 power by 3 x to the 4th power Y to the 2nd power?
-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
What is the algebraic expression of 12 less than 5 times y?
x=5y-12 where x is your answer
