Ah, what a delightful question! When we have the same number multiplied by itself multiple times, we can express it using exponents. In this case, 8 multiplied by itself 4 times can be written as 8^4, which equals 4096. It's like creating a beautiful painting with numbers, each one adding to the masterpiece in its own special way.
8x8x8x8 = 84 = (23)4 = 23*4 = 212
8 to the fourth power is 4,096. 8x8x8x8=4,096
The product is 4,096
128
The prime factorization of 112 using exponents is: 24 x 7
8x8x8x8 = 84 = (23)4 = 23*4 = 212
8 to the fourth power is 4,096. 8x8x8x8=4,096
1000000000000
The product is 4,096
8⁴ = 8x8x8x8 = 4096
All numbers can be expressed using exponents.
7,777 can be written as 7.78 × 103 using exponents.
419,854,000 using exponents is 4.19854 x 108
128
There are 5 laws: Product Law: This is when the same bases are being multiplied ex. 83 X 82 this is the same as 8x8x8 8x8 when the same bases are being multiplied you just add the exponents so the answer would be 85 Quotient Law: This is when the same bases are being divided. ex. 83 divided by 82 in other words 8x8x8 divided by 8x8 when the same bases are being divided you just subtract the exponents so the answer would be 81 Power of product law: here is an example : (8x3)2 in this problem all you have to do is apply the exponent to each number in side the bracket or multiply the exponent to each exponent inside the brackets, if there is no exponent you assume there is a 1 so you would do 8 1x2 and 3 1x2 and the answer would be 82x32 Power of quotient law: this is the same as the one above, you basically just multiply the exponent to the numbers inside the brackets. So if it was (8 divided by 3)4 you would assume there is an exponent 1 for both the numbers and multiply by four. 8 1x4 divided by 31x4 = 84 divided by 34 Power of a power law: What do you do if there is already an exponent inside the brackets? ex. (84)5 you would do the same thing. You multiply the exponents! if you put the question in standard form it is 8x8x8x8 repeated five times 8x8x8x8 8x8x8x8 8x8x8x8 8x8x8x8 8x8x8x8 how many 8s are there? 20 how do you solve in a much simpler way? you do 84x5 and get the 820
The prime factorization of 25 using exponents is: 52
The prime factorization of 8 using exponents is: 23