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3 years ago

10

Simplify the expression where possible. (6^3)^-3

2 answers:

astraxan [27]3 years ago

3 0

$\bf ~\hspace{7em}\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
~\hspace{4.5em}
a^n\implies \cfrac{1}{a^{-n}}
~\hspace{4.5em}
\cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
(6^3)^{-3}\implies 6^{-3\cdot 3}\implies 6^{-9}\implies \cfrac{1}{6^9}\implies \cfrac{1}{10077696}$

Kazeer [188]3 years ago

3 0

I think the answer is 6^9.

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4 years ago

Read 2 more answers

Consider the function g(x) = sqrt(x + 4) - 6 which function has the same y-intercept as this function?

Inga [223]

Answer:

a)

$f(x) = \frac{4}{x-8} - 3.5$

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The y intercept of g(x) is the value of g when x = 0.

In this problem

$g(x) = \sqrt{x+4} - 6$

The y-intercept is

$g(0) = \sqrt{0+4} = \sqrt{4} - 6 = 2 - 6 = -4$

a)

$f(x) = \frac{4}{x-8} - 3.5$

The y-intercept is:

$f(0) = \frac{4}{0-8} - 3.5 = -0.5 - 3.5 = -4$

This is the correct answer

b)

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The y-intercept is

$f(0) = -\frac{4}{0} - 1$

This is an asymptote

c)

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The y-intercept is

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d)

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7 0

3 years ago