Question

I have to turn this in by tonight

Answer 1

x = -11

Explanation:

Convert fraction into negative exponential form:
`(36^-^1)^x^-^4=(216^-^1)^x^+^1\\`

Simplify using exponent power rule:
`(a^n)^m=a^n^m:36^-^x^+^4=216^-^x^-^1`

Convert both sides of the equation into terms with same base:
`(6^2)^-^x^+^4=(6^3)^-^x^-^1`

Simplify using exponent power rule:

`(a^n)^m=a^n^m:6^-^2^x^+^8=6^-^3^x^-^3`

Based on the given conditions, corresponding exponents are equal:

`-2x=8=-3x-3`

Rearrange unknown terms to the left side of the equation:

`-2x+3x=-3-8`

Combine like terms:
`x=-3-8`

Calculate the sum or difference:
`x = -11`

Thurs, x = -11

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