Multiplying Powers with the Same Base

Q. Find the value of
${81}^{\frac{1}{3}}\times {576}^{\frac{1}{3}}$

1. $36$
   
2. $40$
   
3. $26$
   
4. $30$
   

Q. Find the value of each of the following
$\left(i\right)5^{\frac{1}{2}}\times 5^{\frac{3}{2}}$
$\left(ii\right)7^{\frac{4}{3}}\times 7^{\frac{2}{3}}$

1. $25,50,36$
2. $25,49,36$
3. $22,49,33$
4. $25,36,49$

Q.

The value of $4^3\times 2^3$ is

Q. $2^2+2^{-2}$ = $1$

1. True
2. False

Q. Find the value of each of the following
$\left(i\right)5^{\frac{1}{2}}\times 5^{\frac{3}{2}}$
$\left(ii\right)7^{\frac{4}{3}}\times 7^{\frac{2}{3}}$

1. $25,49$
2. $25,36$
3. $22,49$
4. $25,50$

Q.

Find the value of $3^3\times 3^2$.

1. $3^5$

2. 343

3. $3^1$

4. 243

Q.

Simplify :

${\left(\frac{1}{4}\right)}^2\times \frac{1}{4}$

Q.

Write each of the following in the exponential form.

$15\times x\times x\times x\times x\times y\times y\times y$

Q. Find the value of $3^6\times 3^2$.

1. $3^{12}$
2. $3^8$
3. $3^4$
4. $0$

Q. Expanded form of $243.7=(2\times {10}^2)+(4\times {10}^1)+$ + $(7\times {10}^{-1}$)

1. $(4\times {10}^1)$
2. $(3\times {10}^1)$
3. $(3\times {10}^0)$
4. $(3\times {10}^2)$

Q. Simplify $(\frac{6}{7}{)}^{-2}\times (\frac{7}{6}{)}^{-2}$

1. 1
2. $\frac{-6}{7}$
3. $\frac{6}{7}$
4. $\frac{7}{6}$

Q. What would be the value of $\left[\right(-5{)}^3{]}^4$?

1. $(-5{)}^1$
2. $(-5{)}^7$
3. $(-5{)}^{12}$
4. $(-5{)}^{34}$

Q. Match the values with the corresponding laws of exponents.

1. $2^4\times 3^4=6^4$
2. $\frac{4^7}{4^5}=4^2$
3. $3^7\times 3^2=3^9$
4. $(2^7{)}^4=2^{28}$

Q. ${(-2)}^4\times {\left(3\right)}^4$ = .

1. ${(-6)}^4$
2. $-{24}^4$
3. - ${12}^4$
4. - 1296

Q. $2^5\times 4^5$ =

1. $8^5$
2. $8^{-5}$
3. ${24}^5$
4. -$8^5$