Simplify the expression

(C^4/3 x b^1/2) ^-3

3 b 11 6

Step-by-step 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.