How to do math like this kid
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đź“š
LearningTranscript
00:00third question of our matchup and the next question is what is the value of b if 5 to the b
00:07plus 5 to the b plus 5 to the b plus 5 to the b plus 5 to the b equals 625 raised to the quantity
00:15edward five-thirds five-thirds is the correct answer here's what he did to solve this problem
00:21so quickly 625 is 25 squared and 25 is 5 squared and when you have the power of a power you can
00:28multiply them to get 5 to the fourth power similarly 4 can be multiplied by b minus 1 to
00:34get this since there are five 5 to the b powers the left side is 5 times 5 to the b power when
00:40multiplying exponents with the same base you add the powers so this is 5 to the 1 plus b power now
00:46that you have an equation with the same base just compare the powers which you can do in your head
00:501 plus b equals 4b minus 4 5 equals 3b and five-thirds is your answer