Law of Exponents

Find the value of $x$ in ${\left(18\right)}^{3.5}÷{\left(27\right)}^{3.5}\times 6^{3.5}=2^x$.

Find the value of $x$ in $3^{3.5}\times {21}^2\times {42}^{2.5}÷2^{2.5}\times 7^{3.5}={21}^x$.

Which of the following is the same as $ \left({x}^{2}\times {x}^{2}\right)\times {y}^{8}$?

Which of these is equal to $ {6}^{4}\times {4}^{2}$?

Which of the following is equivalent to $ {\left({5}^{3}\right)}^{2}$?

$ a$ and $ b$ are two non-zero numbers where $ \text{a}\ne b$.

Which of these is the same as $ {a}^{m}÷{b}^{n}$ ?

Which of the following is equivalent to $ {5}^{-2+3}$?

Which of these is the same as $ {\left({m}^{3}\right)}^{2}$ ?

Which of the following is an ODD number?

$ m$ and $ n$ are two natural numbers such that $m^n$ is an even number.

Which of the following is TRUE?

If $ x=5$, Which of these is equal to $ 3{x}^{2}$?

Let S = $ {\left(-1\right)}^{1}+{\left(-1\right)}^{2}+{\left(-1\right)}^{3}+{\left(-1\right)}^{4}+\dots +{\left(-1\right)}^{250}$

Which of the following is the value of S?

$ n$ is natural number such that $ {\left(-1\right)}^{n}=-1$.

Which of these is TRUE about $ n$?

Which of the following is equal to $ {\left(-1\right)}^{51}$?

Which of the following is the expression is the expanded form of $ -{3}^{4}$?

$ x$ is a positive integer such that, ${\left(\frac{1}{2}\right)}^x<{\left(\frac{1}{2}\right)}^4$.

Which of these is TRUE?

Given, $2^x>2^y$, where $ x$ and $ y$ integers.

Which of these is TRUE?