Powers with Unlike Bases and Same Exponent

Q. Express $-\frac{16}{81}$ as power of a rational number.

1. $-(\frac{4}{9}{)}^2$
2. $(\frac{4}{9}{)}^2$
   
3. $(\frac{4}{9}{)}^2$
   
4. $-(\frac{-4}{9}{)}^2$
   

Q.

Which of the given options represents the exponential form of $\frac{1}{8}\times (3{)}^{-3}$ ?

1. $6^3$

2. $6^{-3}$

3. $3^{-6}$

4. $3^6$

Q.

Question 95

Solve the following:

Express $\frac{16}{81}and\frac{-16}{81}$ as powers of rational number.

Q.

​If $8^{100}\times m^{100}={56}^{100}$, then find the value of m.

1. 6

2. 7

3. 5

4. 4

Q.

Question 94

Solve the following:

Express $\frac{27}{64}$ and $\frac{-27}{64}$ as powers of a rational number.

Q. Find the value of
${(-2)}^4\times {\left(3\right)}^4$.

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

Q. Find the value of ${(-2)}^4\times {\left(3\right)}^4$.

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

Q. Find the value of ${(-2)}^4\times {\left(3\right)}^4$.

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

Q. Express the following rational numbers in power notation:
$-\frac{64}{125}$

Q.

Evaluate the expression: $5-8^2$.

Q. The value of $\frac{(-7{)}^6}{7^6}$ is .

1. -1
2. \N
3. 1
4. 2

Q. Find the value of $(2^1{)}^4$.

1. 2
2. 4
3. 8
4. 16

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. -$8^5$

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

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

Q. ${\left(2\right)}^5\times {\left(4\right)}^5={\left(24\right)}^5$.

1. True
2. False

Q. $(-6{)}^{-82}\times (81{)}^{-41}$ =

1. $(-486{)}^{-82}$
2. $(-87{)}^{-82}$
3. $(-36{)}^{-41}$
4. $(-54{)}^{-82}$