Question

1. what base does each set of values have in common? rewrite each set of values using that base.

a. 16 and 64
b. 27 and 243
c. 25 and 625
algebra 1 unit 7.3
6/18/2024
page 1 of 2

Explanation:

Step1: Factor 16 and 64

$16 = 2^4$, $64 = 2^6$

Step2: Factor 27 and 243

$27 = 3^3$, $243 = 3^5$

Step3: Factor 25 and 625

$25 = 5^2$, $625 = 5^4$

Answer:

a. Common base: 2; Rewritten: $2^4$ and $2^6$
b. Common base: 3; Rewritten: $3^3$ and $3^5$
c. Common base: 5; Rewritten: $5^2$ and $5^4$