How do you evaluate the expression #(2/3)^4/((2/3)^-5(2/3)^0)# using the properties of indices?.
2 Answers
Explanation:
We can use here the identities
As such
Hence
#=(2/3)^((4-(-5)-0))#
#=(2/3)^((4+5))#
#=(2/3)^9#
or
Explanation:
There are four properties of indices (exponents) to consider here:
Raising factors to a power:
A negative index:
Index of
Multiply law: same bases, add the indices:
This can also be written as