Tag: power of powers
Questions Related to power of powers
The value of $(6^{4} \times 7^{2})^{\tfrac {1}{2}}$ is equal to _____
Given $\log _{ 10 }{ x } =a,\log _{ 10 }{ y } =b$
Given $\log _{ 10 }{ x } =a,\log _{ 10 }{ y } =b$
The value of ${({3}^{m})}^{n}$, for every pair of integers $(m,n)$ is
Simplify the following:
${(-5)}^{4}\times {(-5)}^{-6}$
$(2^{0} + 4^{-1})\times 2^{2}$ is equal to
The value of $(4\times 5)^6$ is equal to:
The value of $\left(\dfrac{x^q}{x^r}\right)^{\dfrac{1}{qr}} \times \left(\dfrac{x^r}{x^p}\right)^{\dfrac{1}{rp}}\times \left(\dfrac{x^p}{x^q}\right)^{\dfrac{1}{pq}}$ is equal to ___.
$\left(\dfrac{1}{x^{a-b}}\right)^{\tfrac{1}{(a-c)}}. \left(\dfrac{1}{x^{b-c}}\right)^{\tfrac{1}{(b-a)}}. \left(\dfrac{1}{x^{c-a}}\right)^{\tfrac{1}{(c-b)}}=$
The $100^{th}$ root of $10^{(10^{10})}$ is ___.