Question

1. Write the following numbers in Exponential form using the base given in the brackets:
a) 〖27〗^(-5) (base3)

b) 〖36〗^3 (base 6)

2. If 5^x = 625, find the values of
(i) 3^x
(ii) 2^(x-1)
3. Simplify the following using the law of Exponents:
a) (〖-7)〗^(-10) ÷ (〖-28)〗^(-10)

b) 7^(-4) x 7^2

c) 2^(-3) x 5^(-3)

d) (〖2^2)〗^(-3)

e) (3)^0 + (4)^0+ ( 〖(-2)/( 3) )〗^0

Answer 1

Answer:

log (5)(5)^1/2=1/2.log (5)(5)=1/2

log(3)(3)^3/2=3/2.log (3)(3)=3/2

1/2 + 3/2

4/2

2