Expand the Expression: Calculate 6^12 Step by Step

Question

Expand the following equation:

612= 6^{12}=

Video Solution

Solution Steps

00:00 Identify the equivalent expressions
00:04 According to the laws of exponents, the multiplication of exponents with the same base (A)
00:07 equals the same base raised to the sum of the exponents (N+M)
00:11 We will apply this formula to our exercise in order to simplify it
00:14 We'll maintain the base and add the exponents together
00:18 We can observe that this expression is not equal to the original expression
00:21 Let's simplify the remaining expressions in the same way
00:31 We can once again observe that this expression is also not equal to the original expression
00:42 This expression is equal to the original expression
00:53 This expression is not equal to the original expression
01:04 This is the solution

Answer

62×63×67 6^2\times6^3\times6^7