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Express as a rational number \(\left(\dfrac{2}{7}\right)^{4} \times \left(\dfrac{7}{5}\right)^{3}\)
Find x so that \(\left(\dfrac{5}{3}\right)^{5} \times \left(\dfrac{5}{3}\right)^{11} = \left(\dfrac{5}{8}\right)^{8x} \)
Find the difference between \(3^{4}\ and \ 4^{3} \).
The exponential form of \(\dfrac{729}{64}\) is
Simplify \(\left(\dfrac{1}{4}\right)^{2} + \left(\dfrac{1}{2}\right)^{2} +\left(\dfrac{1}{3}\right)^{2} \)
Simplify \( \left[6^{1} + \left(\dfrac{3}{2}\right)^{1}\right]^{1}\)
Express as a rational number \(\left[\left(\dfrac{4}{3}\right) \left(\dfrac{1}{4}\right)^{1}\right]^{1}\)
Find the value of x so that \( 7^{2x + 1} \div 49 = 7^{3} \)
Simplify \(\dfrac{\left(6\right)^{0} – \left(2\right)^{0}}{\left(\dfrac{3}{4}\right)^{0}} \)
Express as a rational number \((1)^{21} – (1)^{46} \)
By what number should \((8)^{1}\) be multiplied so that the product may be equal to \(10^{1}\)?
Find the value of \( {\left(3^{2} – 2^{3}\right) \div \left(\dfrac{1}{5}\right)^{3}}\)
Simplify \( \left(2^{1} \div 5^{1}\right)^{2} \times \left(\dfrac{5}{8}\right)^{1}\)
Simplify \( \left(6^{1} \div 8^{1}\right)^{1} + \left(2^{1} – 3^{1}\right)^{1}\)
\( \left(\dfrac{4}{3}\right)^{3} \) is equal to
Simplify \( \left(3^{2} + 2^{2}\right) \times \left(\dfrac{1}{2}\right)^{3}\)
Simplify \( \left[\left(\dfrac{1}{3}\right)^{3} – \left(\dfrac{1}{2}\right)^{3}\right] \div \left(\dfrac{1}{4}\right)^{3} \)
Find the product of the cube of \(\left(\dfrac{2}{3}\right)\) and the square of \(\left(\dfrac{4}{5}\right)\)
Find the value of \(8 \times 2^{2x + 2} = 32\)
Find the reciprocal of \(\left(4\right)^{3}\)is