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
Answers
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