Math Formulas

Algebra → Exponents → Powers

MR-107

Simplify the following expression:

$243^{\frac{1}{5}} - {(\frac{1}{81})}^{\frac{1}{4}} + {(64 + 7, 5)}^{0} + {(9^{\frac{7}{8}} : 3^{\frac{5}{4}})}^{4}$

MR-117

Simplify the following expression:

$\frac{2^{- 2} \cdot 5^{3} \cdot 10^{- 3}}{2^{- 3} \cdot 5^{2} \cdot 10^{- 4}}$

MR-119

Simplify the following expression:

$\frac{2 a^{2}}{5 b^{- 5}} \div \frac{10 a^{- 3}}{6 b^{- 4}}$

MR-120

Calculate the value of the following expression:

${[6 - 4 {(\frac{7}{16})}^{0}]}^{- 2} + {(\frac{2}{3})}^{- 1} + \frac{1}{4}$

MR-121

Simplify the following expression:

$2 x^{- n} {(x^{n} - 1)}^{- 1} - 4 {(x^{2 n} - 1)}^{- 1} + 2 x^{- n} {(x^{n} + 1)}^{- 1}$

$x \neq 0$

MR-124

Simplify the following expression:

$\frac{2 x^{n} - 2 x^{- n}}{2 x^{n} + 2 x^{- n} + 4}$

$x \neq 0; x \neq - 1$

MR-125 / 125.

Simplify the following expression:

${(\frac{a^{- 1} + b^{- 1}}{b a^{- 1} + a b^{- 1}})}^{- 1} + {(\frac{a^{- 1} + b^{- 1}}{2})}^{- 1} - \frac{a^{- 1} - b^{- 1}}{a^{- 1} \cdot b^{- 1}}$

MR-134 / 134.

Simplify the following expression:

${(\frac{2^{x} + 2^{- x}}{2})}^{2} - {(\frac{2^{x} - 2^{- x}}{2})}^{2} + 1$

MR-375 / 825.a

Find the cube of the given expressions:

$x + 2$

MR-180 / 825.b

Find the cube of the given expressions:

$x - 1$

MR-209 / 825.c

Find the cube of the given expressions:

$2 x - 3 y$