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2 votes
Simplify the expression

(2b/3)^4
A. 16b^4/81
B. 16b^4/3
C. 8b^4/12
D. 6b^4

User RubbleFord
by
6.0k points

2 Answers

5 votes

Answer:

A. 16b^4/81

Explanation:

(2b/3)^4

We know (a/b)^c = a^c / b^c

(2b)^4 / 3^4

We also know (ab)^c = a^c * b^c

2^4 * b^4 / 3^4

16 b^4/ 81

User Vansimke
by
5.2k points
1 vote

Answer:

A.16b^4/81

Explanation:

(2b/3)^4

= (2b)^4/3^4

= (2^4×b^4)/3^4

=16b^4/81

(as 16 and 81 cant simplify each other)

User JustABill
by
5.3k points