Question

15) Find the value of m so that (-3)m+1(-3)5- (-3)7​

Answer 1

${ \large{ \sf{ \underbrace{\underline{\bigstar \:Answer:}}}}}$

The value of m is 1.

Step-by-step explanation:

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Expression

$(-3)^{m+1}\times (-3)^5=(-3)^7(−3)$

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The value of m?

${ \large{ \sf{ \underbrace{\underline{\bigstar \:Solution :}}}}}$

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

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

$(-3)^{m+1+5}=(-3)^7(−3)$

$(-3)^{m+6}=(-3)^7(−3)$

Comparing the power as bases are same,

$\sf m+6=7m+6=7$

$\sf m=1m=1$

Therefore, The value of m is 1.