Question & Answer - Recent questions tagged সূচক https://qna.enoteshare.com/tag/%E0%A6%B8%E0%A7%82%E0%A6%9A%E0%A6%95 Powered by Question2Answer $2^{\frac{4x-3}{x-3}}+2^{\frac{5x-6}{x-3}}=24$ হলে $x$ এর মান নির্ণয় কর। https://qna.enoteshare.com/15062/ Algebra https://qna.enoteshare.com/15062/ Sun, 27 Jul 2025 09:05:14 +0000 Why? $a^0=1$ https://qna.enoteshare.com/14888/ Algebra https://qna.enoteshare.com/14888/ Wed, 23 Jul 2025 12:07:02 +0000 Why? $a^{-1}=\frac{1}{a}$ https://qna.enoteshare.com/14886/ Algebra https://qna.enoteshare.com/14886/ Wed, 23 Jul 2025 12:04:47 +0000 সরল কর: $\left(\frac{a^2b^{-1}}{a^{-2}b}\right)^2$ https://qna.enoteshare.com/14865/ Algebra https://qna.enoteshare.com/14865/ Tue, 22 Jul 2025 16:23:50 +0000 সরল কর: $\frac{7^3\times7^{-3}}{3\times3^{-4}}$ https://qna.enoteshare.com/14864/ Algebra https://qna.enoteshare.com/14864/ Tue, 22 Jul 2025 16:14:36 +0000 সরল কর: $\frac{\sqrt[3]{7^2}\cdot\sqrt[3]{7}}{\sqrt7}$ https://qna.enoteshare.com/14863/ Algebra https://qna.enoteshare.com/14863/ Tue, 22 Jul 2025 16:12:49 +0000 সরল কর: $\sqrt{x^{-1}y}\cdot\sqrt{y^{-1}z}\cdot\sqrt{z^{-1}x}$ $\left(x>0,y>0,z>0\right)$ https://qna.enoteshare.com/14862/ Algebra https://qna.enoteshare.com/14862/ Tue, 22 Jul 2025 16:10:56 +0000 সরল কর: $\left(2^{-1}+5^{-1}\right)^{-1}$ https://qna.enoteshare.com/14861/ Algebra https://qna.enoteshare.com/14861/ Tue, 22 Jul 2025 16:08:48 +0000 সরল কর: $\dfrac{2^{n+4}-4\cdot2^{n+1}}{2^{n+2}\div2}$ https://qna.enoteshare.com/14860/ Algebra https://qna.enoteshare.com/14860/ Tue, 22 Jul 2025 16:07:15 +0000 সরল কর: $\left(2a^{-1}+3b^{-1}\right)^{-1}$ https://qna.enoteshare.com/14859/ Algebra https://qna.enoteshare.com/14859/ Tue, 22 Jul 2025 16:05:45 +0000 সরল কর: $\frac{3^{m+1}}{\left(3^{m}\right)^{m-1}}\div\frac{9^{m+1}}{\left(3^{m-1}\right)^{m+1}}$ https://qna.enoteshare.com/14858/ Algebra https://qna.enoteshare.com/14858/ Tue, 22 Jul 2025 16:04:41 +0000 প্রমাণ কর যে: $\dfrac{4^{n}-1}{2^{n}-1}=2^{n}+1$ https://qna.enoteshare.com/14857/ Algebra https://qna.enoteshare.com/14857/ Tue, 22 Jul 2025 16:02:36 +0000 প্রমাণ কর যে: $\frac{a^{p+q}}{a^{2r}}\times\frac{a^{q+r}}{a^{2p}}\times\frac{a^{r+p}}{a^{2q}}=1$ https://qna.enoteshare.com/14856/ Algebra https://qna.enoteshare.com/14856/ Tue, 22 Jul 2025 16:01:22 +0000 প্রমাণ কর যে: $\dfrac{2^{2p+1}\cdot3^{2p+q}\cdot5^{p+q}\cdot6^{p}}{3^{p-2}\cdot6^{2p+2}\cdot10^{p}\cdot15^{q}}=\dfrac12$ https://qna.enoteshare.com/14855/ Algebra https://qna.enoteshare.com/14855/ Tue, 22 Jul 2025 15:58:43 +0000 প্রমাণ কর যে: $\left(\frac{x^{a}}{x^{b}}\right)^{\frac{1}{ab}}\cdot\left(\frac{x^{b}}{x^{c}}\right)^{\frac{1}{bc}}\cdot\left(\frac{x^{c}}{x^{a}}\right)^{\frac{1}{ca}}=1$ https://qna.enoteshare.com/14854/ Algebra https://qna.enoteshare.com/14854/ Tue, 22 Jul 2025 15:55:30 +0000 প্রমাণ কর যে: $\left(\frac{a^{l}}{a^{m}}\right)^{n}\cdot\left(\frac{a^{m}}{a^{n}}\right)^{l}\cdot\left(\frac{a^{n}}{a^{l}}\right)^{m}=1$ https://qna.enoteshare.com/14853/ Algebra https://qna.enoteshare.com/14853/ Tue, 22 Jul 2025 15:52:48 +0000 প্রমাণ কর যে: $\left(\frac{x^{a}}{x^{b}}\right)^{a+b}\cdot\left(\frac{x^{b}}{x^{c}}\right)^{b+c}\cdot\left(\frac{x^{c}}{x^{a}}\right)^{c+a}=1$ https://qna.enoteshare.com/14852/ Algebra https://qna.enoteshare.com/14852/ Tue, 22 Jul 2025 15:50:31 +0000 প্রমাণ কর যে: $\left(\frac{x^{p}}{x^{q}}\right)^{p+q-r}\cdot\left(\frac{x^{q}}{x^{r}}\right)^{q+r-p}$$\cdot\left(\frac{x^{r}}{x^{p}}\right)^{r+p-q}$$=1$ https://qna.enoteshare.com/14851/ Algebra https://qna.enoteshare.com/14851/ Tue, 22 Jul 2025 15:46:50 +0000 যদি $a^x=b$, $b^y=c$ এবং $c^z=a$ হয়, তবে দেখাও যে, $xyz=1$ https://qna.enoteshare.com/14850/ Algebra https://qna.enoteshare.com/14850/ Tue, 22 Jul 2025 15:44:16 +0000 সমাধান কর: $4^x=8$ https://qna.enoteshare.com/14849/ Algebra https://qna.enoteshare.com/14849/ Tue, 22 Jul 2025 15:42:09 +0000 সমাধান কর: $2^{2x+1}=128$ https://qna.enoteshare.com/14848/ Algebra https://qna.enoteshare.com/14848/ Tue, 22 Jul 2025 15:41:36 +0000 সমাধান কর: $\left(\sqrt3\right)^{x+1}=\left(\sqrt[3]{3}\right)^{2x-1}$ https://qna.enoteshare.com/14847/ Algebra https://qna.enoteshare.com/14847/ Tue, 22 Jul 2025 15:39:17 +0000 সমাধান কর: $2^x+2^{1-x}=3$ https://qna.enoteshare.com/14846/ Algebra https://qna.enoteshare.com/14846/ Tue, 22 Jul 2025 15:34:41 +0000 $\frac{1}{2} \times 2^{(x–3)}+1=5$ হলে $x$ এর মান কত? https://qna.enoteshare.com/13487/ Arithmetic https://qna.enoteshare.com/13487/ Wed, 11 Jun 2025 16:11:59 +0000 $i^{−49}$ এর মান কত? https://qna.enoteshare.com/13079/ Algebra https://qna.enoteshare.com/13079/ Sun, 08 Jun 2025 08:51:59 +0000