Question

Find m so that (-3)m+1 X (-3)6 = (-3)10

Answer 1

Step-by-step explanation:

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.