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Simplify \((5)^3 \)
Find the value of x such that \(\left(\dfrac{64}{125}\right)^2\left(\dfrac{4}{5}\right)^4\left(\dfrac{16}{25}\right)^{2x+1}=\left(\dfrac{256}{625}\right)^{3x} \)
By what number \(\left(\dfrac{4}{3}\right)^{5} \) must be multiplied so that the result is \(\dfrac{16}{9} \)?
Find the value of m in \(\dfrac{(16)^{2m+1}(64)^5}{(256)^2\times4}=(256)^{3m} \)
Simplify: \( x^2y^2x^5y^3 \)
The value of \(\dfrac{1}{2}\left[\dfrac{7}{4}+\dfrac{5}{3}+\dfrac{5}{6}+\dfrac{1}{3}+\dfrac{1}{2}\right]+\dfrac{1}{3}\left[\dfrac{12}{5}+\dfrac{7}{20}+\dfrac{3}{14}+\dfrac{1}{7}+\dfrac{1}{10}\right] \)
If \(10^m\times10^n\times10^p=10^6\), the average value of m, n, p is
The value of \(\dfrac{\left(p+\dfrac{1}{q}\right)^m\left(p\dfrac{1}{q}\right)^m}{\left(q+\dfrac{1}{p}\right)^m\left(q\dfrac{1}{p}\right)^m} \)
Find the value of x in \(\dfrac{(25)^{2x+1}\times(125)^5}{(625)^2}=(3125)^{3x} \)
The value of \( \dfrac{2^{m+3}\times3^{2mn}\times5^{m+n+3}\times6^{n+1}}{6^{m+1}\times10^{n+3}\times15^m}\) is
Simplify \( (32)^{\frac{2}{5}}\div(125)^{\frac{2}{3}}\)
The value of \(\dfrac{6^{n+3}32.6^{n+1}}{6^{n+2}2.6^{n+1}} \) is
The value of \((64)^{\frac{2}{3}}\times\left(\dfrac{1}{4}\right)^{3} \) is
If \((6x)^6=6^{2^3} \), the value of \( x\) is
Number of prime factors in \((216)^{\frac{3}{5}}\times(2500)^{\frac{2}{5}}\times(300)^{\frac{1}{5}} \) is
If \(m^2=27^{\frac{2}{3}}\times16^{\frac{3}{2}} \) then m is
Which of the following values are equal?
\(\begin{array}.(\text a)\ 1^5 &(\text b)\ 5^0\\ (\text c)\ 0^5&(\text d)\ 5^1 \end{array} \)
The value of \(x^{2x}x(x^x) \) when \(x=2 \) is
The value of \((1331)^{\frac{2}{3}} \) is
If \(\dfrac{8}{7^2}\times 7^x2\times7^{x2}=42 \), the value of \( x\) is
If \(\dfrac{x}{y}=\dfrac{3}{2} \) then \( \dfrac{x^2y^2}{x^2+y^2}\) is
The standard form of 0.003445 is
The value of \( (4096)^{\frac{5}{6}}\) is
The value of \(\sqrt{8^2+15^2} \) is
For each positive integer n, which of the following is also a square number?
\((7\times10^{28}) \div (4\times10^{35}) \) is equal to
If \(a^x=\sqrt b,b^y=\sqrt[3]{c},c^z=\sqrt[3]{a} \), the value of xyz is
Simplify \(\dfrac{\sqrt3+\sqrt2}{\sqrt3\sqrt2} \)
Find x so that \( (5)^{x+1}\times(5)^5=(5)^7\)
What is the unit digit in \((67)^{157}\times(67)^{112} \)?
\(6.5\times10^{22}+5\times10^{23} \)
Write 44,000,000,000 in standard form.
Simplify \((4^{1}\times6^{1})^{1}\div5^{1} \)
\(3^{3}\times3^{3}= \)
Simplify \((4^{1}\times8^{1}^{1}\div 5^{1}) \)
If \(5^{(a+b)}=3125\ \text{and}\ 3125^{ab}=5 \) Then the value of b is
Adding 1 and 2
Find a positive rational number solution of \(\sqrt{12+8\sqrt2}\sqrt{128\sqrt2} \)
How many prime factors exist in \((15)^{10}\times(7)^3\times(2)^3 \)
Simplify \((9\times10^{26})\div(4\times10^{18}) \)
If \(\dfrac{3^x}{2+3^x}=\dfrac{1}{2} \), then the value of \(9^x \) is