Index and Base

Q.

Which is greater 2 raised to power 100 and 100 raised to the power of 2

Q.

In ${10}^4$, $10$ is called the ____, and $4$ is called the exponent.

Q.

Express $256\times 243$ in exponential form.

1. $2^8\times 3^5$

2. $2^7\times 3^4$

3. $2^6\times 3^3$

4. $2^2\times 3^2$

Q.

Express $512\times 729$ in exponential form:

1. $2^8\times 3^3$

2. $2^9\times 3^6$

3. $2^7\times 3^4$

4. $2^9\times 3^7$

Q. What is 0^0(zero to the power zero)? Why it is not 1?

Q.

Express $1372$ as powers & their prime factors.

Q. Express 16 as a power of 4. 16 = 4^?

1. 4
2. 2
3. 12
4. 6

Q. 2⁶ is read as two to the power of six.

1. True
2. False

Q. Express 16 as a power of 4. 16 = 4^?

1. 4
2. 12
3. 2
4. 6

Q.

If a = 2 and b = 3, find the value of $a^b$.

1. 16

2. 32

3. 64

4. 8

Q. 2⁶ is read as two to the power of six.

1. True
2. False

Q.

Express 343 as a power of 7.

1. $7^2$

2. $7^3$

3. $7^4$

4. $7^0$

Q.

In power notation, $\frac{81}{16}$ can be expressed as ___.

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

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

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

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

Q. Sort the following in the ascending order of their values from top to bottom.

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

Q.

Say true or false:

$(\frac{2}{5}{)}^2=-(\frac{2}{5}{)}^2$

1. True

2. False

Q.

The value of $2^7$ is _____.

1. 64

2. 256

3. 512

4. 128

Q. Express 16 as a power of 4. 16 = 4^?

1. 4
2. 12
3. 6
4. 2

Q.

Express 32000 as a product of powers of prime factors.

1. $2^8\times 5^3$

2. $2^7\times 5^4$

3. $2^8\times 5^2$

4. $2^8\times 5^4$

Q.

Express 343 as a power of 7.

1. $7^3$

2. $7^2$

3. $7^4$

4. $7^0$

Q.

If a = 2 and b = 3. Find the value of $a^b\times b^a$.

1. 56

2. 72

3. 64

4. 8

Q.

Third power of $\frac{1}{4}\times$ fourth power of 4 equals to ______.

1. $4^3$

2. $4^2$

3. $4$

4. $4^0$

Q.

In power notation, $\frac{81}{625}$ can be expressed as ___.

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

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

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

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

Q. Sort the following in the ascending order of their values from top to bottom.

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

Q.

Express 343 as a power of 7.

1. $7^0$

2. $7^2$

3. $7^3$

4. $7^4$

Q.

Express $400$ as powers & their prime factors.

Q. Sort the following in the ascending order of their values from top to bottom.

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