Evaluate (20×5)^7: Solving a Complex Exponent Expression

Question

Insert the corresponding expression:

(20×5)7= \left(20\times5\right)^7=

Video Solution

Solution Steps

00:00 Simply
00:03 Let's look at possible solution methods
00:06 In order to solve parentheses with exponents of multiplication
00:09 We'll raise each factor to the power
00:12 We'll use this formula in our exercise
00:17 This is one solution method, now let's see another possible way
00:27 We'll calculate the multiplication and then raise to the power
00:31 This is the second way, now let's see a third way
00:37 In multiplication, the order of factors doesn't matter
00:40 Therefore the expressions are equal
00:43 We'll use this formula in our exercise
00:49 Again we'll use the formula to simplify the power of multiplication
00:59 And this is the solution to the question, with 3 different ways

Answer

All answers are correct