Question

if (-5/7)^-4×(-5/7)^12=((-5/7)^3)^x×(-5/7)^-1 ,find the value of x​

Answer 1

Answer:

Step-by-step explanation:

we have

(-5/7)^-4 × (-5/7)^12={(-5/7)^3}^x ×(-5/7)^-1

we know that when base are equal then power will also equal

therefore -4+12=3x+(-1)

=》8=3x-1

=》8+1=3x

=》9=3x

=》9/3=x

=》3=x

hence the x=3

Answer 2

Given:

(-5/7)^-4×(-5/7)^12=((-5/7)^3)^x×(-5/7)^-1

Solution:

we know that the powers will also be same as the base

so..

-4 + 12 = 3x + (-1)

8 = 3x + (-1)

8 = 3x - 1

8 + 1 = 3x

9 = 3x

9/3 = x

3 = x

therefore x = 3

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