Find the value of A and B in 12(Am – 4n) = 96m + Bn
Answers
Answer:
• Exponents are used to express large numbers in shorter form to
make them easy to read, understand, compare and operate upon.
• a × a × a × a = a4 (read as ‘a’ raised to the exponent 4 or the fourth
power of a), where ‘a’ is the base and 4 is the exponent and a4 is
called the exponential form. a × a × a × a is called the expanded
form.
• For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,
(i) am × an = am+n
(ii) am ÷ an = am–n , m>n
(iii) (am)n = amn
(iv) am × bm = (ab)m
(v) am ÷ bm =
m
a
b
(vi) a0 = 1
(vii) (–1)even number = 1
(viii) (–1)odd number = –1
Answer:
A=8, B=-48.
Step-by-step explanation:
12(Am-4n)=96m+Bn
=12•Am-48n=96m+ Bn
Most of the time when more than 2 variables are given in a equation, we compare them.
so, comparing both sides,
=12•Am=96m
=> 12•A=96
=> A=96/12=8. [m is cancelled out for being on both sides]
And,
=Bn=-48n
=> B=-48. [n is cancelled out for being on both sides]
Hope it helps.