Simplify: { 5 − 1 ÷ 6 − 1 } 3

Simplify:
\[\left\{ 5^{- 1} \div 6^{- 1} \right\}^3\]

Sum

\[\left\{ 5^{- 1} \div 6^{- 1} \right\}^3\]`= (1/5div1/6)^3` → (a⁻¹ = 1/a)

\[= \left( \frac{6}{5} \right)^3\]

\[= \frac{216}{125}\] →((a/b)ⁿ = (aⁿ)/(bⁿ))

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Find the value of the following:
(3⁰ + 4⁻¹) × 2²

Find the value of the following:

\[\left( \frac{1}{2} \right)^{- 1} + \left( \frac{1}{3} \right)^{- 1} + \left( \frac{1}{4} \right)^{- 1}\]

Simplify:

\[\left( 4^{- 1} \times 3^{- 1} \right)^2\]

Write the following in exponential form:

\[\left( \frac{2}{5} \right)^{- 2} \times \left( \frac{2}{5} \right)^{- 2} \times \left( \frac{2}{5} \right)^{- 2}\]

Evaluate:
\[\left( \frac{1}{3} \right)^{- 4}\]

Express the following as a rational number in the form \[\frac{p}{q}:\]

Simplify:

\[\left\{ 3^{- 1} \times 4^{- 1} \right\}^{- 1} \times 5^{- 1}\]

Find x, if

Find the multiplicative inverse of the following.
10^{– 5}

The multiplicative inverse of `(- 5/9)^-99` is ______.