Calculate (11×15×4)^6: Solving a Complex Exponent Problem

Question

(11×15×4)6= \left(11\times15\times4\right)^6=

Video Solution

Solution Steps

00:00 Simply
00:03 when we have a multiplication where each factor has the same exponent (N)
00:12 we can write the entire multiplication with exponent (N)
00:15 we will use this formula in our exercise
00:27 let's calculate the multiplication
00:40 the order of factors in multiplication doesn't matter, so the expressions are equal
00:43 we will use this formula in our exercise
00:48 again we'll use the formula for exponents of multiplication
00:56 and again we'll reverse the factors
01:01 now let's solve it another way
01:07 let's calculate the multiplication
01:15 we'll use the formula for exponents of multiplication
01:24 and this is the solution to the question

Answer

All answers are correct