Quotient Law of Exponent

Q.

$25a^5{b}^5{c}^3÷5a^4{b}^4{c}^2=$

1. $5ab$

2. $5abc$

3. $5bc$

4. 5

Q.

The value of ($4^{-7}÷4^{-10})\times 4^{-5}$ is ${16}^{-1}$.

1. False

2. True

Q. $2^{-3}\times 2^{-5}$ is equal to_______.

1. $2^{-8}$
2. $2^{-2}$
3. $2^2$
4. $\frac{1}{2^8}$

Q.

$\frac{\left(a^m\right)\times \left(a^n\right)}{\left(a^p\right)}$ can be rewritten as:

1. $a^{m-p-n}$

2. $a^{m+n-p}$

3. $a^{n-p-m}$

4. $a^{p-m+n}$

Q. ${\left(\frac{3}{4}\right)}^5÷{\left(\frac{3}{5}\right)}^5$ is equal to

Q. $25a^5{b}^5{c}^3÷5a^4{b}^4{c}^2$ =

Q.

Evaluate $\frac{(2^2{)}^2}{16}$

1. 1

2. 2

3. 3

4. -1

Q.

Simplify and express each of the following in exponential form :

$\left[{\left(5^2\right)}^3\times 5^4\right]÷5^7$

Q. Divide $16p^8$ by $4p^3$

Q.

Use your results in part(a) to explain how to find$(\mathrm{a}\times {10}^{\mathrm{n}})\times (\mathrm{b}\times {10}^{\mathrm{m}})$ and $(\mathrm{a}\times {10}^{\mathrm{n}})÷(\mathrm{b}÷{10}^{\mathrm{m}}).$ Describe any properties that you use.

Q.

${\left(\frac{-2}{5}\right)}^7÷{\left(\frac{-2}{5}\right)}^5$ is equal to

1. $\frac{-4}{25}$

2. ${\left(\frac{-2}{5}\right)}^{12}$

3. $\frac{25}{4}$

4. $\frac{4}{25}$

Q. Simplify and express the following in exponential form:
$\frac{2^3\times 3^4\times 4}{3\times 32}$

Q.

If $x={\left(\frac{-2}{5}\right)}^{30}÷{\left(\frac{-2}{5}\right)}^{28}$ and $y={\left(\frac{-2}{5}\right)}^2\times {\left(\frac{-2}{5}\right)}^3$, find the value of $(x^3÷y{)}^2$.

1. $\frac{5}{40}$

2. $\frac{-2}{5}$

3. $\frac{4}{25}$

4. $\frac{25}{4}$

Q. $\frac{8^9}{8^3}$ =_______

1. 8^12
2. 8^27
3. 8^5
4. 8^6

Q.

$(\frac{3}{7}{)}^2=(-\frac{3}{7}{)}^2$

1. True

2. False

Q. Simplify and express the following in exponential form:
$(5^4\times m^{10}{n}^5)÷(5^8\times m^7{n}^4)$

Q.

Simplify and express in exponential form: $\frac{3^{-5}\times {10}^{-5}\times 125}{5^{-7}\times 6^{-5}}$ is :

1. $5^5$

2. $5^4$

3. $2^5$

4. $5^6$

Q.

Evaluate:

${25}^2\times {(-1)}^{49}$.

Q. Find the value of x if $2^x=32$.

1. 2
2. 4
3. 5
4. 3

Q.

The value of $(4^{-7}÷4^{-10})\times 4^{-5}$ is ${16}^{-1}$.

1. True

2. False

Q.

$\frac{\left(a^m\right)\times \left(a^n\right)}{\left(a^p\right)}\text{can be rewritten as:}$

1. $a^{m-p-n}$

2. $a^{m+n-p}$

3. $a^{n-p-m}$

4. $a^{p-m+n}$

Q.

Solve:-

$(\frac{2^5}{2^8})\times 2^{-7}$

1. $2^{10}$

2. $2^6$

3. $2^{-10}$

4. $2^{-4}$

Q.

Evaluate $\frac{(2^2{)}^2}{16}$

1. -1

2. 1

3. 2

4. 3

Q.

Simplify and express each of the following in exponential form :

(ii) $2^3\times 2^2\times 5^5$

Q. Evaluate the following ${(\frac{3}{2}x+1)}^3-\frac{{27x}^2}{4}-\frac{9x}{2}$

Q.

Simplify and express each of the following in exponential form :

(v) $\left[{\left(2^2\right)}^3\times 3^6\right]\times 5^6$

Q.

$a^m$ ÷ $a^n$ = $a^{mn}$

1. False

2. True

Q. The exponents must be ______ in order to evaluate $\frac{x^9}{x^3}$.

1. divided
2. added
3. subtracted
4. multiplied