# Recent questions tagged exponents

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Evaluate $\frac{\pi^{2}}{\sum_{x=1}^{\infty} \frac{1}{x^{2}}}$
Evaluate $\frac{\pi^{2}}{\sum_{x=1}^{\infty} \frac{1}{x^{2}}}$Evaluate \\frac{\pi^{2}}{\sum_{x=1}^{\infty} \frac{1}{x^{2}}}\ ...
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Proof: $\frac{n^{2}+5}{n+1} \rightarrow \infty$ as $n \rightarrow \infty$
Proof: $\frac{n^{2}+5}{n+1} \rightarrow \infty$ as $n \rightarrow \infty$Proof: $\frac{n^{2}+5}{n+1} \rightarrow \infty$ as $n \rightarrow \infty$ ...
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Factorise completely: $75 x-12 x^{3}$
Factorise completely: $75 x-12 x^{3}$Factorise completely: $75 x-12 x^{3}$ ...
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Factorise completely: $x-16 x^{3}$
Factorise completely: $x-16 x^{3}$Factorise completely: $x-16 x^{3}$ ...
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Solve for x in the following
Solve for x in the followingSole for $x$ in $2-16x^{-\frac{3}{2}}=0$ ...
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The probabilities that Ago, Sulley and Musa will gain admission to a certain university are $\frac{4}{5}, \frac{3}{4}$ and $\frac{2}{3}$ respectively. Find the probability that :The probabilities that Ago, Sulley and Musa will gain admission to a certain university are $\frac{4}{5}, \frac{3}{4}$ and $\frac{2}{3}$ respectiv ...
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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.
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.(a) If $f(x+2)=6 x^{2}+5 x-8$, find $f(5)$ (b) Express $\frac{7 \sqrt{2}+3 \sqrt{3}}{4 \sqrt{2}-2 \sqrt{3}}$ in the form $p+q \sqrt{r}$, wher ...
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If $f(x)=\frac{4-5 x}{2}$, and $g(x)=x+6, x \in R$, find $f \circ g^{-1}$.
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) ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 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 $g \circ f(x)$.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^{ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Given that \(f(x)=5 x^{2}-4 x+3$, find the coordinates of the point where the gradient is 6
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. $(1,-2)$ ...
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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 $m$.
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. $-22$ ...
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Solve the logarithmic equation $\ln (x-2)+\ln (2 x-3)=2 \ln x$
Solve the logarithmic equation $\ln (x-2)+\ln (2 x-3)=2 \ln x$Solve the logarithmic equation $\ln (x-2)+\ln (2 x-3)=2 \ln x$ ...
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How would you solve $\dfrac{p^{2}}{5(2+4 p)}=\dfrac{9}{70} ?$
How would you solve $\dfrac{p^{2}}{5(2+4 p)}=\dfrac{9}{70} ?$How would you solve $\dfrac{p^{2}}{5(2+4 p)}=\dfrac{9}{70} ?$ ...
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Rewrite each exponential form in logarithmic form.
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. $e^{z}=Y$ ...
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Simplify the surd $3 \sqrt{56}$ completely
Simplify the surd $3 \sqrt{56}$ completelySimplify the surd $3 \sqrt{56}$ completely ...
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Find the derivative of $f(x)=3 / x^{4}-2 x^{2}+6 x-7$.
Find the derivative of $f(x)=3 / x^{4}-2 x^{2}+6 x-7$.Find the derivative of $f(x)=3 / x^{4}-2 x^{2}+6 x-7$. ...
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Find the derivative of $f(x)=x^{5}+5 x^{2}$.
Find the derivative of $f(x)=x^{5}+5 x^{2}$.Find the derivative of $f(x)=x^{5}+5 x^{2}$. ...
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What is the sum rule for derivatives?
What is the sum rule for derivatives?What is the sum rule for derivatives? ...
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Find the derivative of $f(x)=x^{3}$.
Find the derivative of $f(x)=x^{3}$.Find the derivative of $f(x)=x^{3}$. ...
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If $f(x)=3 x-5$, then $f^{-1}(x)$ is
If $f(x)=3 x-5$, then $f^{-1}(x)$ isIf $f(x)=3 x-5$, then $f^{-1}(x)$ is ...
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If $f(x)=\frac{x-3}{x+1}$, then $f[f\{f(x)\}]$ equals
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 ...
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What does the power of a quotient rule of exponents state?
What does the power of a quotient rule of exponents state?What does the power of a quotient rule of exponents state? ...
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What does the power of a product rule of exponents state?
What does the power of a product rule of exponents state?What does the power of a product rule of exponents state? ...
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What does the negative rule of exponents state?