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What is the distributive property of 4x36?
4x(6+6+6+6+6+6)=
How did you get the answer for six to the fourth power?
6 multiplied by 6 multiplied by 6 multiplied by 6 = 1296 Six to the fourth power is simply six squared times six squared. Or 36 times 36. Anyone knows that 4 times 36 is 144, or can see that once it is presented to them or they think about it. Next we take it times ten (adding a zero), 40 times 36 is 1440, but we needed 36 times 36, not 40 times 36. So lets chop that first 144 (4x36) off the 1440. 1440-144=1296. Viola!
What is 41 base six multiplied by 23 base six and show work?
41 to base 6 = (4x6)+(1) = 24+1 = 25 in decimal 23 to base 6 = (2x6)+(3) = 12+3 = 15 in decimal Multiply 25x15 = 375 in decimal Now convert 375 to base 6 as follows 1) Divide 375 by 6, Quotient = 62, Remainder 3 = 3 2) Divide 62 by 6, Quotient = 10, Remainder = 2 3) Divide 10 by 6, Quotient = 1, Remainder = 4 Hence the product in base six is 1423 Verification: 1423 in base 6 = [1x6-raised to 3]+[4x6-raised to 2]+[2x6]+[3] = 1x216+4x36+2x6+3 = 216+144+12+3 = 375 You can also do straight base 6 multiplication 0023 0041 ------ 0023 1400 ------ 1423 ------ or 0041 0023 ------ 0203 1220 ------ 1423 ------
