Question

prove that 2 power n + 1 into 3 power 2m minus n into 5 power m+n into 6 power n divided by 6 power m into 10 power n + 2 into 15 power m is equal to 1 by 50​

Answer 1

Answer:

When we write a number a, it is actually a1, said as a to the power 1.

a2 = a*a

a3 = a*a*a

:

:

an = a*a*a*a* . . . n times.

Basic formulas in Powers and Roots

Some basic formulas used to solve questions on exponents are:

(am)n = (an)m = amnam.an = am+na-m = 1/amam/an = am-n = 1/an-m(ab)n = anbn(a/b)n = an/bna0 = 1

 

22 = 4. 23 = 8. This is what we learn in exponents.

√4 = 2. 3√8 = 2. This is what we learn in roots.

Here, √ is called the square root or of 2nd order.

3√ is called the cubeth root or of 3rdorder.

Similarly we can have the root of a number of any order.

n√a is called a surd of order n.

The symbol n√ is called radical sign,

n is called the order of the surd and

a is called the radicand.

Some basic formulae used to solve questions on roots are:

n√a = a1/nn√ab = n√a* n√bn√(a/b) = n√a / n√b(n√a)n = a