Dividing Terms with the Same Exponent

Q. The value of $(243{)}^{-\frac{2}{5}}$ is _______.

1. $9$
2. $\frac{1}{9}$
3. $\frac{1}{3}$
4. $0$

Q.

The Value of${\left(\frac{2}{5}\right)}^{-3}$ is

Q.

Using laws of exponents, simplify and write the answer in exponential form:

$3^2\times 3^4\times 3^8$

Q.

Explain what you would do first to simplify the expression below.

Justify why, and then state the result of performing this step.

${\left(\frac{{\left(2r^{2}t\right)}^3}{4t^2}\right)}^2$

Q.

You send an email with a file size of $4$ kilobytes. One kilobyte is $2^{10}$ bytes. What is the file size of your email in bytes?

Q. What is the value of 'm' if $(\frac{25}{29}{)}^m=\frac{(25{)}^8}{(29{)}^8}$

1. 0
2. 1
3. 8
4. 4

Q.

How do you simplify ${\left(ab\right)}^{-2}$?

Q. Find the missing value if $(\frac{8}{9}{)}^5=\frac{8^5}{?}$

1. $9^{-5}$
2. $-9^5$
   
3. $8^5$
4. $9^5$

Q. Simplify $(\frac{3}{5}{)}^4$

1. $(\frac{3}{5}{)}^5$
2. $\frac{3}{(5{)}^4}$
3. $\frac{(3{)}^4}{(5{)}^4}$
4. $\frac{(3{)}^3}{(5{)}^4}$

Q.

$5^6÷5^2=\_\_\_\_\_\_\_$ $\left(5^{6-2}/5^{\frac{6}{2}}\right)$

Q. If $\frac{a\times a\times a......\times a..\text{m times}}{b\times b\times b......\times b..\text{m times}}$, then it is equal to

1. $\frac{a}{b}$
2. $\frac{a^m}{b^m}$
3. $\frac{a\times m}{b\times m}$
4. $(\frac{a}{b}{)}^m$

Q. $x^a\times y^a=$ _____

1. $(x+y{)}^a$
2. $(x+y{)}^{a+a}$
3. $(xy{)}^{a+a}$
4. $(xy{)}^a$

Q. Evaluate:
$3^2\times 4^2$

Q. Using laws of exponents, simplify and write the answer in exponential form:
$8^r÷8^2$

Q.

Evaluate the expression

${(-12)}^{-7}·{(-12)}^7$

Q.

Choose the correct word/answer and fill in the blanks :

$\frac{3^4}{3^4}=\_\_\_\_\_\_\_\left[0/1\right]$

Q.

Simplify :

${\left(\frac{1}{25}\right)}^4\times {\left(5\right)}^4$.

Q. ${\left(\frac{3}{4}\right)}^5÷{\left(\frac{5}{3}\right)}^5$ is equal to

1. ${(\frac{3}{4}÷\frac{5}{3})}^1$
2. ${(\frac{3}{4}÷\frac{5}{3})}^{10}$
3. ${(\frac{3}{4}÷\frac{5}{3})}^0$
4. ${(\frac{3}{4}÷\frac{5}{3})}^5$

Q. The value of $(243{)}^{-\frac{2}{5}}$ is _______.

1. $\frac{1}{9}$
2. $0$
3. $\frac{1}{3}$
4. $9$

Q. The total time taken for the sale of donuts, tacos, and bagels in a food street is as shown. Which of the following dishes shows a proportional relationship?

Tacos
x: Time in minutes	$\frac{3}{2}$	$\frac{1}{2}$
y: Number of items sold	$30$	$10$

1. Tacos and donuts
   
2. Tacos
   
3. None
   
4. Bagel, tacos, and donuts
   

Q.

The value of ${\frac{(-7)}{\left(7^6\right)}}^6$ is:

__