Zero Exponents

Q.

${\left(213\times 657\right)}^{-1}={213}^{-1}\times .............$

Q.

The expression for$8^{-2}$ as a power with the base $2$ is _________. Fill in the blank to make the statement true.

Q.

${\left(\frac{1}{10}\right)}^0$ is equal to

1. $0$

2. $\frac{1}{10}$

3. $1$

4. $10$

Q.

Fill in the blanks to make the statement true:${\left[{\left(\frac{-1}{4}\right)}^{16}\right]}^2={\left(\frac{-1}{4}\right)}^{\_\_\_}$

Q.

${\log }_{a}x$ is defined for $(a>0)$

1. all $x$

2. all negative real $x$not equal to $1$

3. all positive real $x$ not equal to $0$

4. none of these

Q.

Find the value of $\frac{(383.08{)}^2-(303.08{)}^2}{686.16}$.

1. 383.08

2. 80

3. 800

4. 8

Q. Solve $1^0\times 2^0\times 3^0$

1. 3
2. 0
3. 6
4. 1

Q.

Find the product: $\left(x\right)\times \left(x^2\right)\times \left(x^3\right)\times \left(x^3\right)$

Q.

$5^0=$…….. Fill in the blank to make the statement true.

Q. Evaluate $(3^0+8^0)\times 5^2$

1. 1
2. 25
3. 50
4. None of these

Q. Solve (1296)0.35×(1296)0.15(1296)0.35×(1296)0.15

Q. Solve the following using Product Law of Exponents:
$v^2{\times v}^6{\times v}^7\times w\times w^5$

1. $v^{15}{w}^6$
2. ${vw}^{21}$
3. $v^{15}{w}^5$
4. ${wv}^{21}$

Q. Simplify $3^0+2^0=$

1. 0
2. 2
3. 1
4. -2

Q. 2 raised to the power zero is equal to __.

1. 1
2. 0
3. -1
4. 2

Q. Which of the following is correct?

1. $a^0=0$
2. $a^0=1$
3. $a^0=-1$
4. $a^0=a$

Q. Evaluate:
$(2^6{)}^0$

Q.

Fill in the blanks with $<,>$ or $=$ sign: $6^3$ _____ $4^4$

Q. The value of 2^0+ 5^0 is

1. 7
2. 1
3. 0
4. 2

Q.

The value of $(3^0-2^0)\times 5^2$ is:

1. 1

2. 9

3. 25

4. 0

Q. Evaluate $2^0+5^0$

1. 2
2. 0
3. 1
4. -2

Q. The value of $3^0+4^0-5^0$ is .

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

Q.

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

${\left(4^3\right)}^2$ and ${\left(4^2\right)}^3$ are _________ (same/different)

Q. $9m^2+24m+16$

Q. Solve the following using Product Law of Exponents
$a\times a^{-4}\times a^{-5}$

1. $a^{10}$
2. $a^{-10}$
3. $a^{-8}$
4. $a^8$

Q.

Express the following in positive exponents only :

$\frac{5^{-2}\times 3^2}{5^{-4}\times 3^{-6}}$

Q.

Fill in the blanks:

${\left(1000\right)}^0\times {\left(10\right)}^3=\_\_\_\_\_\_\_\_\_\_\_\_$

Q.

$3\left(8^0+9^0+5^0\right)=\_\_\_\_\_\_\_\_\_$

Q. Rakesh has solved some problem of exponents in the following way.

1. True
2. False

Q.

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

$5^2\times a^2=\_\_\_\_\_\_\_\left[{\left(5a\right)}^2/{\left(5a\right)}^{2+2}\right]$

Q. Find the value of $a^0{b}^2$, if a=4 and b=-3.

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