Find the value of m if : 3²^m- 3⁷= 243. Plz tell the whole formula.
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The value of m is 1.
Step-by-step explanation:
Given : Expression (-3)^{m+1}\times (-3)^5=(-3)^7(−3)
m+1
×(−3)
5
=(−3)
7
To find : The value of m?
Solution :
Expression (-3)^{m+1}\times (-3)^5=(-3)^7(−3)
m+1
×(−3)
5
=(−3)
7
We know, x^a\times x^b=x^{a+b}x
a
×x
b
=x
a+b
(-3)^{m+1+5}=(-3)^7(−3)
m+1+5
=(−3)
7
(-3)^{m+6}=(-3)^7(−3)
m+6
=(−3)
7
Comparing the power as bases are same
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