Simplify: { 4 − 1 × 3 − 1 } 2

Simplify:
\[\left\{ 4^{- 1} \times 3^{- 1} \right\}^2\]

Sum

\[\left\{ 4^{- 1} \times 3^{- 1} \right\}^2\] `=(1/4xx1/3)^2` →(a⁻¹ = 1/a)

\[= \left( \frac{1}{12} \right)^2\]

\[= \frac{(1 )^2}{(12 )^2}\] →((a/b)ⁿ = (aⁿ)/(bⁿ))

\[= \frac{1}{144}\]

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Find the value of m for which 5^m ÷5⁻³ = 5⁵.

Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0. (−4)⁻²

Find the value of the following:
\[\left\{ \left( \frac{1}{3} \right)^{- 1} - \left( \frac{1}{4} \right)^{- 1} \right\}^{- 1}\]

Simplify:

Simplify:

Simplify:

Express the following rational numbers with a negative exponent:

By what number should 5⁻¹ be multiplied so that the product may be equal to (−7)⁻¹?

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