Question

y = f(x) = 8^x

Find f(x) when x = 1
____
3

Answer 1

when x = 1/3 f(x) = 8^(1/3)

Answer 2

note 8^(1/3) = cube root of 8

Answer 3

\(\Large {\bf a^{\frac{{\color{blue} n}}{{\color{red} m}}} = \sqrt[{\color{red} m}]{a^{\color{blue} n}} \qquad \qquad

\sqrt[{\color{red} m}]{a^{\color{blue} n}}=a^{\frac{{\color{blue} n}}{{\color{red} m}}}
\\\quad \
8 \to \square \cdot \square \cdot \square \to \square ^3?
}\)

Answer 4

so its 8 lol

Answer 5

know a number that multiplied 3 times by itself is 8?

Answer 6

is it 2 the answer

Answer 7

nooo
wait

Answer 8

hmm ok

Answer 9

its 2

Answer 10

yeap
\(\large \bf 8^x\qquad x={\color{brown}{ \frac{1}{3}}}\implies 8^{{\color{brown}{ \frac{1}{3}}}}\implies \sqrt[3]{8^1}\implies \sqrt[3]{2^3}\implies 2
\)

Answer 11

YESSSSSSSSSSSSSSSSSSSSS'

Answer 12

thank you to both!

Answer 13

yw