Find the value of x,
[tex]5 ^{x} \times (5^{ \frac{ - x}{3} }) ^{ - 6} = \frac{1}{125} [/tex]
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Find the value of x,
[tex]5 ^{x} \times (5^{ \frac{ - x}{3} }) ^{ - 6} = \frac{1}{125} [/tex]
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Answer:
x = 3
Step-by-step explanation:
Verified answer
Exponent laws
[tex]\rightarrow(a^{m})^{n}=a^{mn}[/tex]
Keep in mind that [tex]\left(5^{\dfrac{-x}{3}}\right)^{-6}=5^{2x}[/tex].
Solution
[tex]5^{x+2x}=5^{-3}[/tex]
[tex]5^{3x}=5^{-3}[/tex]
[tex]3x=-3[/tex]
[tex]\therefore x=-1.[/tex]