MAT - Paper 2018 - Q1G
Flashcards
2021-10-27
If you’re worried about how a $\pm$ has cropped up, how can you sometimes safely only consider it as negative or as positive?
By looking about what is true in a sketch.
\[x^5 = 2\]What is $x$ using fractional exponents??::
\[x = 2^{\frac{1}{5}}\] \[x^{-4} = 6\]What is $x$ using fractional exponents??::
\[x = 6^{-\frac{1}{4}}\] \[x^{\frac{3}{2}} = 4\]What is $x$ using fractional exponents??::
\[x = 4^{\frac{2}{3}}\] \[x^{\frac{a}{b}} = 7\]What is $x$ using fractional exponents??::
\[x = 7^{\frac{b}{a}}\] \[x^{\frac{3}{2}} = \frac{1}{4}\]Solve for $x$??::
\[x = \frac{1}{4^{\frac{2}{3}}}\]For $f(x)$ and $g(x)$ to touch, what two things must be true??::
\[f'(x) = g'(x)\] \[f(x) = g(x)\]