Question

(a/b)^-4 into (a/b)^3x=(a/b)^5 then the value of x is​

Answer 1

Step-by-step explanation:

Given:-

(a/b)^-4 × (a/b)^3x=(a/b)^5

To find:-

Find the value of x ?

Solution:-

Given that

(a/b)^-4 × (a/b)^3x=(a/b)^5

We know that

x^m × x^n = x^(m+n)

=> (a/b)^(-4+3x) = (a/b)^5

We know that

If bases are equal then exponents must be equal.

=> -4+3x = 5

=> 3x = 5+4

=> 3x = 9

=> x = 9/3

=> x = 3

Therefore, x = 3

Answer:-

The value of x for the given problem is 3

Check:-

If x = 3 then LHS

=> (a/b)^-4 × (a/b)^(3×3)

=> (a/b)^-4×(a/b)^9

=> (a/b)^(-4+9)

=>(a/b)^5

=> RHS

LHS = RHS is true for x = 3

Used formulae:-

• x^m × x^n = x^(m+n)

• If bases are equal then exponents must be equal.