Question

Use the Laws of Exponents to Simplify Expressions with Rational ExponentsNumber 571

Answer 1

We need to simplify the expression using laws of exponents:

Let us use the power of a power rule:

`(a^x)^y=a^(xy)`

Then:

a)

`(a^(12))^{(1)/(6)}=a^{(12)/(6)}=a^2`

b)

`(b^(15))^{(3)/(5)}=b^{(12\ast3)/(5)}=b^{(75)/(5)}=b^9`

c)

`(c^(11))^{(1)/(11)}=C^{(11)/(11)}=C^1`