Question

What is the largest power of 2 that is a divisor of 13^4 - 11^4?

Answer 1

Answer:

$2^5$

Step-by-step explanation:

Given:

$(13^4 - 11^4)(13^2+11^2)$

add all together with exponents

=48*290

= Then turn into a smaller exponent

= $2^4 * 3 * 2*145$

combine like terms

$2^4 *2$

=$2^5$

Answer 2

Answer:

5

Step by step explanation :

13^4-11/4=13920

2^5=32

13920÷32=435

Therefore largest power = 5

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