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5 votes
Simplify the expression
(C^4/3 x b^1/2)^-3

User Cordel
by
8.9k points

1 Answer

4 votes

Answer:

3 b 11 6

Explanation:

3 b 1 2 ⋅ b 4 3

Move

b 4 3 . 3 ( b 4 3 b 1 2 )

Use the power rule

a m a n = a m + n

to combine exponents.

3 b 4 3 + 1 2

To write

4 3

as a fraction with a common denominator, multiply by

2 2 . 3 b 4 3 ⋅ 2 2 + 12

To write 1 2

as a fraction with a common denominator, multiply by

3 3 . 3 b4 3 ⋅ 2 2 + 1 2 ⋅ 3 3

Write each expression with a common denominator of

6

, by multiplying each by an appropriate factor of

1 .

Tap for more steps...

3 b 4 ⋅ 2 6 +3 6

Combine the numerators over the common denominator.

3 b 4 ⋅ 2 + 3 6

Simplify the numerator.

User Panic
by
7.8k points

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