Solve (a×b×c×4)^7: Multiple Variable Expression with Seventh Power

Question

(a×b×c×4)7= (a\times b\times c\times4)^7=

Video Solution

Solution Steps

00:06 Simply put,
00:09 let's use the power rule for multiplication.
00:13 Any multiplication raised to the power N
00:17 equals each factor raised to that same power N.
00:21 Let's use this formula in our exercise.
00:24 We'll expand the brackets and raise each factor to the correct power.
00:29 And that's how we solve the problem!

Step-by-Step Solution

We use the formula:

(a×b)x=axbx (a\times b)^x=a^xb^x

Therefore, we obtain:

a7b7c747 a^7b^7c^74^7

Answer

a7×b7×c7×47 a^7\times b^7\times c^7\times4^7