Multiplying Exponents with Same Base

Q. Match the expressions with their subsequent values.

1. $(2^2{)}^3$
2. $2^{\left(2^3\right)}$
3. $2^3\times 3^3$
4. $2^2\times 2^3$
5. $64$
6. $256$
7. $216$
8. $32$

Q. Scientists discovered a peculiar virus, which enters into a human body and gets doubled everyday. Find the number of viruses after $12$ days in a person's body who came in contact with this unknown virus.

1. $2^{12}$
2. $2^{11}$
3. $2^{24}$
4. $2^{22}$

Q. By which of the following number $2^{-2}$ be multiplied so that the result after multiplication will be $2^4$?

1. $2^4$
2. $2^2$
3. $2^6$
4. $2^8$

Q. Match column I with column II and select the correct answer by using the given codes.

Column I Column II
$\left(A\right)3^4\times 3^{\frac{1}{2}}\left(P\right)7^{\frac{20}{7}}$
$\left(B\right)7^3\times 7^{-\frac{1}{7}}\left(Q\right)3^{\frac{21}{5}}$
$\left(C\right)3^4\times 3^{\frac{1}{5}}\left(R\right)5^{\frac{-7}{2}}$
$\left(D\right)5^{-\frac{1}{2}}\times 5^{-3}\left(S\right)3^{\frac{9}{2}}$

1. $\left(A\right)\to \left(R\right)$, $\left(B\right)\to \left(Q\right)$, $\left(C\right)\to \left(S\right)$, $\left(D\right)\to \left(P\right)$
2. $\left(A\right)\to \left(R\right)$, $\left(B\right)\to \left(P\right)$, $\left(C\right)\to \left(S\right)$, $\left(D\right)\to \left(Q\right)$
3. $\left(A\right)\to \left(S\right)$, $\left(B\right)\to \left(P\right)$, $\left(C\right)\to \left(Q\right)$, $\left(D\right)\to \left(R\right)$
4. $\left(A\right)\to \left(Q\right)$, $\left(B\right)\to \left(S\right)$,
   $\left(C\right)\to \left(P\right)$, $\left(D\right)\to \left(R\right)$

Q.

If $a^2$ends in $5,$then $a^3$ end in $25.$

State whether the statement is true (T) or false (F).

1. True
2. False

Q. Which of the following expression represents the area of a rectangle with $5p^3{q}^2$ as length and $5^7{p}^2{q}^4$ as width?

1. $8^5{p}^5{q}^6$
2. $5^8{p}^5{q}^6$
3. $5^7{p}^5{q}^6$
4. $5^8{p}^6{q}^5$

Q. Select all the expression(s) with same base.

1. $7^3$
2. $3^7$
3. $5^3$
4. $7^2$

Q. Which of the following option is the simplest form of $6^3\times 6^4?$

1. ${36}^{12}$
2. $6^{12}$
3. $6^7$
4. ${36}^7$

Q.

Write each of the following phrases using numbers, variables and basic operations:

$3$ added to the sum of $x$ and $y$

Q.

Write the expressions for the following:

(ii) $p$ is subtracted from $7$

Q. Which of the following option is the simplest form of $3x^{4}y\times 7x^5{y}^{-3}?$

1. $10x^9{y}^{-2}$
2. $21x^9{y}^4$
3. $21x^9{y}^{-2}$
4. None of the above