Question

I have to turn this in by tonight

Answer 1

Answer:

x = -11

Step-by-step 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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