Question

9. Without using a calculator, find the value of
a) 3^60/9^30
b) 4^6 × 5^8​

Answer 1

a) To find the value of 3^60/9^30, first, simplify each term:
3^60 = (3^2)^30 = 9^30

Now we have:
9^30/9^30 = 1

So, the value of 3^60/9^30 is 1.

b) To find the value of 4^6 × 5^8, multiply the terms together:
4^6 × 5^8 = (2^2)^6 × 5^8 = 2^12 × 5^8

Now, we can simplify each term:
2^12 = (2^4)^3 = 16^3
5^8 = (5^4)^2 = 625^2

So, 4^6 × 5^8 = 16^3 × 625^2

Since we can't simplify it any further without a calculator, the expression remains as 16^3 × 625^2.