Question

if (-3)^(m+1)×(-3)^5=(-3)^7 then the value of m is​l​

Answer 1

Answer:

GIVEN:

(-3)m + 1 × (-3)5 = (-3)7

TO FIND:

The value of m .

SOLUTION:

=> -3m + 1 × (-15) = (-3) × 7

=> -3m + ( -15 ) = -21

=> -3m -15 = -21

=> -3m = -21 + 15

=> -3m = -6

=> m = -6 / -3

=> m = 2

Hence,the value of m is 2

Answer 2

Answer:

Answer:

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,

m+6=7m+6=7

m=1m=1

Therefore, The value of m is 1.