Find the Value of the Following: ( 1 2 ) − 2 + ( 1 3 ) − 2 + ( 1 4 ) − 2

Find the value of the following:

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

Sum

\[\left( \frac{1}{2} \right)^{- 2} +\left( \frac{1}{3} \right)\]^-2+14-2=11/22+11/32+11/42 → (a⁻ⁿ = 1/(aⁿ))

\[\frac{1}{1/4} + \frac{1}{1/9} + \frac{1}{1/16}\] →((a/b)ⁿ =(aⁿ/bⁿ))
= 4+9+16
=29

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

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

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

Simplify:
\[\left( 3^{- 1} \times 4^{- 1} \right)^{- 1} \times 5^{- 1}\]

Write the following in exponential form:

Write the following in exponential form:

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

Simplify:

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

if \[x = \left( \frac{3}{2} \right)^2 \times \left( \frac{2}{3} \right)^{- 4}\], find the value of x⁻².

Expand the following numbers using exponents.

1025.63

The multiplicative inverse of 10¹⁰ is ______.