Subject Experts Solutions for Chapter: Powers and Roots, Exercise 2: Exercise 2

${\left(99\right)}^{37}\times {\left(99\right)}^{-14}\times {\left(99\right)}^3\times {\left(99\right)}^{-26}=$_____.

$\left[{\left(999\right)}^9\times {\left(999\right)}^{90}\times {\left(999\right)}^{900}\right]÷{\left(999\right)}^{998}=$_____.

${\left(2^2\right)}^3-{\left(-2^3\right)}^2=$_____.

${\left[{99}^1+{98}^2+{97}^3+.....+3^{97}+2^{98}+1^{99}\right]}^0=$_____.

Which of the following is equal to $\sqrt[3]{3^3+4^3+5^3}=?$

The total surface area of a solid cube is equal to $6$ times the square of the edge of the cube. If the total surface area of the cube is $726 sq. cm.$ Find the length of the edge of the cube in $cm$. Also find the cost of colouring a face of the solid at the rate of $₹1.5 per sq. cm.$

The volume of a solid dice is equal to the cube of its edge. If the volume of the dice is equal to $125 c{m}^3$, then find the length of the edge of the cube in $cm$.

How many natural numbers are there from ${10}^2$ to ${20}^2$?