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Find the value of $x$ in the following case.

${\left[4^x\right]}^2=2^{32}$

Find the value of $x$ in the following case.

$\frac{a^{3x}\times a^{4x}}{{\left(a^{3x}\right)}^2}=a^4$

Express the following using scientific notation.

$70165$

Express the following using scientific notation.

Express the following using scientific notation.

Express the following using scientific notation.

Write the expanded form of the number $23789$ using exponential notation.

Write the number for the given expanded form.

$6\times {10}^6+3\times {10}^4+5\times {10}^2+8\times {10}^0$