Question

Simplify them please(a and b)

Answer 1

a.
`a^(3)`.

b.
`(1)/(2c^(6))`.

Explanation:

Exercise "a".

1. Write the expression.

`(a^(4) )/(a)`

2. Subtract 1 from the exponent of both numerator and denominator.

`(a^(4-1) )/(a^(1-1) )=\\ \\(a^(3) )/(a^(0) )=\\\\ (a^(3) )/(1 )=\\ \\a^(3)`

3. Final answer.

`a^(3)`

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Exercise "b".

1. Write the expression.

`(2c^(-4) )/(c^(2))`

2. Move the numerator down to the denominator by changing the sign of the exponent.

`(1)/(c^(2)*2c^(4) )`

3. Multiply.

`(1)/(2c^(6))`