true or false:-
3 raise to the power 0 = 100 raise to the power 0
Answers
Answer:true
Step-by-step explanation:
Anything raised to the power of 0 is 1
YES,BECAUSE ANY THING RAISED TO THE POWER 0 IS ALWAYS EQUAL TO 1.
I CAN PROVE THIS THING:
NOW WHAT I WILL DO IS I WILL TAKE 5,4,3,2,1,0 AS THE POWERS OF A NUMBER.FOR EXAMPLE 2.
NOW,
2⁵=32
2⁴=16
2³=8
2²=4
2¹=2
2⁰=1
HERE WE CAN OBSERVE PATTERN LIKE THE DIFFERENCE OF 2⁵ AND 2⁴=16 AND DIFFERENCE OF 2⁴ AND 2³=8 LIKE THAT IF WE CONTINUE WE GET THE DIFFERENCES 4,2,1 RESPECTIVELY.
16,8,4,2,1
WE CAN SEE THAT THE NUMBER 16 WHEN IT IS DIVIDED BY 2 GIVES 8 AND WHEN 8 IS DIVIDED BY 2 GIVES 4 AND WHEN 4 DIVIDES 2 GIVES 2 AND WHEN 2 DIVIDES 2 GIVES 1.
SO WE CAN OBSERVE THIS SORT OF PATTERN AND PROVE THAT ANYTHING TO THE POWER OF ZERO EQUALS 1.
IF I WOULD HAVE TAKEN 3 WE HAVE TO DIVIDE THE DUFFERENCE BY 3.
IF I WOULD HAVE TAKEN 100 WE HAVE TO DIVIDE THE DIFFERENCE BY 100.
AND FINALLY WE GET ANYTHING POWER 0 EQUALS 1.