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

Question

$(a\times b\times c\times4)^7=$

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!

We use the formula:

$(a\times b)^x=a^xb^x$

Therefore, we obtain:

$a^7b^7c^74^7$

$a^7\times b^7\times c^7\times4^7$