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salantis [7]
4 years ago
10

Which expression is equivalent to (4 ^5/4 times 4^1/2 divided by 4^1/2)

Mathematics
1 answer:
Serga [27]4 years ago
7 0

<u>Answer:</u>

2 ^ { \frac { 5 } { 2 }

<u>Step-by-step explanation:</u>

We are given the following expression which we are to find its simplest form:

\frac { 4 ^ { \frac { 5 } { 4 } } \times 4 ^ { \frac { 1 } { 2 } } } { 4 ^ { \frac { 1 } { 2 } } }

Cancelling the like terms to get:

4 ^ { \frac { 5 } { 4 } }

2 ^ { 2 .\frac { 5 } { 4 } } = 2 ^ { \frac { 5 } { 2 } }

2 ^ { \frac { 5 } { 2 }

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