Basics of Exponents

Which one easy to compare?

Why we express large number in exponential form?

If $a=2$ and $b=3$, then find the value of the ${\left(ab\right)}^b$.

If Expression of  $216$ as a product of its prime factors is $2\times 2\times 2\times 3\times 3\times k$, then $k=$

Find the value of ${\left(\frac{7}{9}\right)}^{-12}\times {\left(\frac{9}{7}\right)}^{-10}$.

Find the value of $\left(5^{-1}+{10}^{-1}\right)÷{\left(\frac{3}{4}\right)}^{-1}$.

Simplify ${\left(\frac{5}{9}\right)}^2\times {\left(\frac{3}{5}\right)}^3\times {\left(\frac{3}{5}\right)}^0$.

Which of these is the value of $ \text{x}$ in the equation $ {x}^{2}\times {x}^{3/2}={2}^{7}$?

What is the value of $ t$ if $ {\left(5t\right)}^{3}=1000$?

Look at the equation below:

$ {2}^{12}={\left(2\times 2\times 2\right)}^{x}$

Which of the following is the value of $ x$?

The time taken by light to travel a distance of 1 km is approximately 0.00000333564 second.

Which of these gives this time in STANDARD form?

A light year is an astronomical unit of length, defined as the distance travelled by light in vacuum in 365.25 days. One light year is approximately 9,460,000,000,000,000 m.

Which of the following represent one light year?

$7\times 7\times 7\times 7\times 7\times 7\times 7\times 7\times 7=7^y$

The value of $y$ is _____.

The sum of the sequence $ \text{S}=\frac{1}{3}+\frac{1}{{3}^{2}}+\frac{1}{{3}^{3}}+\dots +\frac{1}{{3}^{\text{n}}}$, is given by S = $ \frac{r\left(1-{r}^{\text{n}}\right)}{1-r}$ , where $ r=\frac{1}{3}$ and $ n$ is the number of terms in the sequence.

What is the sum of the sequence $ \frac{1}{3}+\frac{1}{{3}^{2}}+\frac{1}{{3}^{3}}+\frac{1}{{3}^{4}}$?

The product is represented as repeated multiplication: $343=\text{k}\times \text{k}\times \text{k}$

Find the value of k.

The product is represented as repeated multiplication: $216=\text{k}\times \text{k}\times \text{k}$

Find the value of k.

Expressing $9$ as the repeated multiplication of a number, we get $\text{k}\times \text{k}$ .

Write the value of k.