Question

Find m so that (-3)m+1×(-3)5=(-3)7

Answer 1

Answer:

The value of m is 1.

Step-by-step explanation:

Given : Expression $(-3)^{m+1}\times (-3)^5=(-3)^7$

To find : The value of m?

Solution :

Expression $(-3)^{m+1}\times (-3)^5=(-3)^7$

We know, $x^a\times x^b=x^{a+b}$

$(-3)^{m+1+5}=(-3)^7$

$(-3)^{m+6}=(-3)^7$

Comparing the power as bases are same,

$m+6=7$

$m=1$

Therefore, The value of m is 1.

Answer 2

Answer:

$Value \: of \: m = 1$

Step-by-step explanation:

$(-3)^{m+1}\times (-3)^{5}=(-3)^{7}$

$\implies (-3)^{m+1+5}=(-3)^{7}$

$We \:know \:the \\ Exponential\:Law :\\</p><p>a^{m}\times a^{n}=a^{m+n}$

$\implies (-3)^{m+6}=(-3)^{7}$

$\implies m+6=7$

$\boxed {If \: a^{m}=a^{n}\: then \: m=n}$

$\implies m = 7-6$

$\implies m = 1$

Therefore,

$Value \: of \: m = 1$

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