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5 votes
Simplify (4^3)^5
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2 Answers

0 votes

Step-by-step explanation: Here we have the number (4^3)^5.

We can use the relationship:
(x^(a) )^(b) = x^(a*b)

so our number can be written as:
(4^(3)) ^(5) = 4^(3*5) = 4^(15).

But you can simplify it further!

we know that
4 = 2^(2), then
4^(15) = (2^(2)) ^(15) = 2^(2*15) = 2^(30)

User PAStheLoD
by
5.4k points
6 votes

Answer:


\large\boxed{(4^3)^5=4^(15)}

Explanation:


\text{Use}\ (a^n)^m=a^(nm)\\\\(4^3)^5=4^((3)(5))=4^(15)

User Moyheen
by
6.0k points