How do you use the laws of exponents to simplify the expression $b^8(2b)^4$ ?

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Answer 1 · 2015-05-19T15:03:23

One law of the exponents states that $(a^n)^m=a^n*m$

Then,

$b^8(2^1b^1)^4=b^8(2^(1*4)b^(1*4))$

Now, we get $b^8(16b^4)=16*b^8*b^4$ .

Another law of exponents states that $a^n*a^m=a^(n+m)$ . Thus,

$16*b^(8+4)=16b^12$

How do you use the laws of exponents to simplify the expression b^8(2b)^4b^8(2b)^4?