5^6
same as
5*5*5*5*5*5
= 15,625
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When multiplying two exponents with the same base, you add the exponents. Therefore, 5 to the power 6 times 5 to the power 8 is simplified to 5 to the power (6+8) which is equal to 5 to the power 14.
25 = 52 so 25-6 = (52)-6 = 5-12
Oh, what a happy little math problem we have here! When you have the same base number and you're dividing with exponents, you can simply subtract the exponents. So, 6 to the power of 5 divided by 6 to the power of 3 is the same as 6 to the power of 5 minus 3, which equals 6 squared. That's 36, a lovely little answer right there.
Six is the base. (64)
Base 5, exponent 3 (53)