Answer:
0.08
Explanation:
5 ^-2 * cube root of 8
first of all, let us solve 5^-2
using the law of indices;
a^-2 = 1 / a ^2
following this law, we have;
5^-2 = 1 / 5^2
we know that 5^2 = 25
therefore,
5^-2 = 1 / 25
now, let is continue by solving the cube root of 8
now, there are three ways of solving this;
we could just simply think of any number that when multiplies itself three times times, it gives 8, or we could just simply use a calculator
regardless of what we use, we have to end up with the number 2 as the answer
leading is to our conclusion.
from all our solution, we have reduced our question to;
1 / 25 ( which is 5^-2) * 2 ( which is the cube root of 8 )
= 1 / 25 * 2 / 1
note that 2 is the same as 2 / 1. We put it like this when we want to carry out an operation on an integer ( e.g. 2) and and a fraction ( e.g. 1 / 25 )
so,
1 / 25 * 2 / 1 =
2 / 25 ( the two multiplies the 1 in 1 / 25 and the 25 multiplies the 1 in 2 / 1)
leaving our answer in decimal, we have;
0.08
hope this helps,
thanks!!!