Question

If (5/3)^-5 * (5/3)^11 = (5/3)^5x, then find the value of x​

Answer 1

Answer:

Step-by-step explanation:

a^m*a^n=a^(m+n)

(5/3)^-5*(5/3)^11=(5/3)^5x

(5/3)^-5+11=(5/3)^5x

(5/3)^6=(5/3)^5x

5x=6

x=6/5

Answer 2

Answer:

x =6/5

Basis:

when a^c*a^b

we write it as a^(c+b)

also when a^(c+b)=a^dx

We can take power as equation

(c+b) =dx

(c+b)/d=x

Soln:

So take 5/3=a

We get

a^-5*a^11=a^5x

On Left Side

-5+11 = 6

Taking

Left hand power = Right hand power

6=5x

x=6/5

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