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Recent questions tagged exponents


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Evaluate \(\frac{\pi^{2}}{\sum_{x=1}^{\infty} \frac{1}{x^{2}}}\)
1 answer 5 views
Evaluate \(\frac{\pi^{2}}{\sum_{x=1}^{\infty} \frac{1}{x^{2}}}\)Evaluate \\frac{\pi^{2}}{\sum_{x=1}^{\infty} \frac{1}{x^{2}}}\ ...
by Pieter SIlver Status
(18,309 points)
asked in Mathematics Jan 11
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Proof: \(\frac{n^{2}+5}{n+1} \rightarrow \infty\) as \(n \rightarrow \infty\)
1 answer 19 views
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Factorise completely: \(75 x-12 x^{3}\)
1 answer 23 views
Factorise completely: \(75 x-12 x^{3}\)Factorise completely: \(75 x-12 x^{3}\) ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Nov 9, 2021
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Factorise completely: \(x-16 x^{3}\)
1 answer 24 views
Factorise completely: \(x-16 x^{3}\)Factorise completely: \(x-16 x^{3}\) ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Nov 9, 2021
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Solve for x in the following
1 answer 32 views
Solve for x in the followingSole for $x$ in $2-16x^{-\frac{3}{2}}=0$ ...
by Claudia Wooden
(4,876 points)
asked in Mathematics Oct 7, 2021
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Express \(\frac{7 \sqrt{2}+3 \sqrt{3}}{4 \sqrt{2}-2 \sqrt{3}}\) in the form \(p+q \sqrt{r}\), where \(p, q\) and \(r\) are rational numbers.
1 answer 46 views
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If \(f(x)=\frac{4-5 x}{2}\), and \(g(x)=x+6, x \in R\), find \(f \circ g^{-1}\).
1 answer 52 views
If \(f(x)=\frac{4-5 x}{2}\), and \(g(x)=x+6, x \in R\), find \(f \circ g^{-1}\).(a) If \(f(x)=\frac{4-5 x}{2}\), and \(g(x)=x+6, x \in R\), find \(f \circ g^{-1}\). (b) \(P(x, y)\) divides the line joining \((7,-5)\) and \((-2,7) ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Sep 12, 2021
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Given that \(f(x)=2 x^{2}-3\) and \(g(x)=x+1\) where \(x \in R\). Find \(g \circ f(x)\).
1 answer 41 views
Given that \(f(x)=2 x^{2}-3\) and \(g(x)=x+1\) where \(x \in R\). Find \(g \circ f(x)\).Given that \(f(x)=2 x^{2}-3\) and \(g(x)=x+1\) where \(x \in R\). Find \(g \circ f(x)\). A. \(2\left(x^{2}-1\right)\) B. \(2 x^{2}+4 x-1\) C. \(2 x^{ ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Sep 12, 2021
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Given that \(f(x)=5 x^{2}-4 x+3\), find the coordinates of the point where the gradient is 6
1 answer 37 views
Given that \(f(x)=5 x^{2}-4 x+3\), find the coordinates of the point where the gradient is 6Given that \(f(x)=5 x^{2}-4 x+3\), find the coordinates of the point where the gradient is 6 A. \((4,1)\) B. \((4,-2)\) C. \((1,4)\) D. \((1,-2)\) ...
by Siyavula Bronze Status
(7,026 points)
asked in Mathematics Sep 11, 2021
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Given that \(\frac{6 x+m}{2 x^{2}+7 x-15} \equiv \frac{4}{x+5}-\frac{2}{2 x-3}\), find the value of \(m\).
1 answer 46 views
Given that \(\frac{6 x+m}{2 x^{2}+7 x-15} \equiv \frac{4}{x+5}-\frac{2}{2 x-3}\), find the value of \(m\).Given that \(\dfrac{6 x+m}{2 x^{2}+7 x-15} \equiv \dfrac{4}{x+5}-\dfrac{2}{2 x-3}\), find the value of \(m\). A. 20 B. 12 C. \(-10\) D. \(-22\) ...
by Siyavula Bronze Status
(7,026 points)
asked in Mathematics Sep 11, 2021
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Solve the logarithmic equation \(\ln (x-2)+\ln (2 x-3)=2 \ln x\)
1 answer 49 views
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How would you solve \(\dfrac{p^{2}}{5(2+4 p)}=\dfrac{9}{70} ?\)
1 answer 23 views
How would you solve \(\dfrac{p^{2}}{5(2+4 p)}=\dfrac{9}{70} ?\)How would you solve \(\dfrac{p^{2}}{5(2+4 p)}=\dfrac{9}{70} ?\) ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Sep 10, 2021
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Rewrite each exponential form in logarithmic form.
1 answer 271 views
Rewrite each exponential form in logarithmic form.Rewrite each exponential form in logarithmic form. a. \(\quad 6^{2}=36\) b. \(\quad 3^{-4}=\frac{1}{81}\) c. \(e^{z}=Y\) ...
by Siyavula Bronze Status
(7,026 points)
asked in Mathematics Sep 6, 2021
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Simplify the surd $3 \sqrt{56}$ completely
1 answer 52 views
Simplify the surd $3 \sqrt{56}$ completelySimplify the surd $3 \sqrt{56}$ completely ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Aug 27, 2021
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Find the derivative of $f(x)=3 / x^{4}-2 x^{2}+6 x-7$.
1 answer 24 views
Find the derivative of $f(x)=3 / x^{4}-2 x^{2}+6 x-7$.Find the derivative of $f(x)=3 / x^{4}-2 x^{2}+6 x-7$. ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Aug 14, 2021
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Find the derivative of $f(x)=x^{5}+5 x^{2}$.
1 answer 35 views
Find the derivative of $f(x)=x^{5}+5 x^{2}$.Find the derivative of $f(x)=x^{5}+5 x^{2}$. ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Aug 14, 2021
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What is the sum rule for derivatives?
1 answer 42 views
What is the sum rule for derivatives?What is the sum rule for derivatives? ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Aug 14, 2021
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Find the derivative of $f(x)=x^{3}$.
1 answer 37 views
Find the derivative of $f(x)=x^{3}$.Find the derivative of $f(x)=x^{3}$. ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Aug 14, 2021
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If $f(x)=3 x-5$, then $f^{-1}(x)$ is
1 answer 31 views
If $f(x)=3 x-5$, then $f^{-1}(x)$ isIf $f(x)=3 x-5$, then $f^{-1}(x)$ is ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Aug 7, 2021
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If $f(x)=\frac{x-3}{x+1}$, then $f[f\{f(x)\}]$ equals
1 answer 34 views
If $f(x)=\frac{x-3}{x+1}$, then $f[f\{f(x)\}]$ equalsIf $f(x)=\frac{x-3}{x+1}$, then $ff\{f(x)\}$ equals ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Aug 7, 2021
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What does the power of a quotient rule of exponents state?
1 answer 70 views
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What does the power of a product rule of exponents state?
1 answer 77 views
What does the power of a product rule of exponents state?What does the power of a product rule of exponents state? ...
by Edzai Zvobwo Bronze Status
(8,812 points)
asked in Mathematics Jul 29, 2021
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What does the negative rule of exponents state?
1 answer 42 views
What does the negative rule of exponents state?What does the negative rule of exponents state? ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Jul 29, 2021
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How do I use the negative rule of exponents?
1 answer 46 views
How do I use the negative rule of exponents?How do I use the negative rule of exponents? ...
by MathsGee Platinum
(104,008 points)
asked in Mathematics Jul 29, 2021
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