my question is to explain formulas of exponents
Answers
Answer:
In the expression, a2, a is known as base and 2 is known as the exponent. An exponent represents the number of times the base to be multiplied. For example, in a2, a will be multiplied twice, i.e., a × a and silimarlt a3 = a × a × a.
Step-by-step explanation:
The Exponents Formulas are
a^0=1
a^1=a
a−−√=a12
a−−√n=a1n
a−n=1an
an=1a−n
a^ma^n=am+n
a^ma^n=am−n
(a^m)p=a^mp
(a^mc^n)p=a^mpc^np
(a^mc^n)p=a^mpc^np
Answer:
The formulae of exponents are :
1) x^y*x^z=x^(y+z)
2)(x^y)^z=x^(y*z)
3)x^y*z^y=(x*z)^y
The first one is pretty simple as you can just expand and observe.
e.g.->2^3*2^4=128=2*(3+4)=2^7
The second one can also be done like -
x^y=a, so, (x^y)^z =a^z or a*a*a... or x^y*x^y*x^y...z times.
So it would all add up to x^(y+y+y...z times) which is x^(y*z)
Idk about the third one.