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

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:08 Let's Simplify
00:11 let's use the power rule for multiplication.
00:15 Any multiplication raised to the power N
00:19 equals each factor raised to that same power N.
00:24 Let's use this formula in our exercise.
00:27 We'll expand the brackets and raise each factor to the correct power.
00:31 And that's how we solve the problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

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

2

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

3

Final Answer

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

Practice Quiz

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\( 112^0=\text{?} \)

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