How do you simplify $(2^4)^2 /( 2 •2^0)$ ?

Question

1516 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-17T14:05:39

$2^7$

use exponent rule
$(2^4)^2=2^8$
$2^0=1$
$2^a/2^b=2^(a-b)$
clearly
$2^8/2=2^7$

Answer 2 · 2016-06-17T14:08:02

It is possible to calculate this without finding the actual numbers , but by using laws of indices.

In the numerator, multiply the indices.
In the denominator, anything to a power of 0 is equal to 1. (except 0)

$2^8/(2 xx 1)$

Subtract the indices of like bases..(All 2)

$2^(8-1) = 2^7 = 128$
$2^7 = 128$

How do you simplify (2^4)^2 /( 2 •2^0)(2^4)^2 /( 2 •2^0)?