(a^m)^n=a^mn and a^0 = 1

Q.

Find the multiplicative inverse of ${10}^{-7}$.

1. ${10}^{-2}$

2. ${10}^2$

3. ${10}^7$

4. ${10}^6$

Q. Solve for $x$ in the equation $(-5{)}^{x+1}\times (-5{)}^5=(-5{)}^7$.

1. 2
2. 1
3. 7
4. 6

Q. Solve for y if
$\frac{{\left(\frac{1}{9}\right)}^{2y-1}(.0081{)}^{\frac{1}{3}}}{\sqrt{243}}={\left(\frac{1}{3}\right)}^{2y-5}\sqrt[3]{3\frac{{27}^{y-1}}{10000}}$

1. $19\times 8$
2. $\frac{-19}{8}$
3. $\frac{18}{9}$
4. $\frac{-19}{18}$

Q.

What is the value of ${\left(\right(2{)}^{-1})}^{-2}$ ?

__

Q. What is $\frac{2^4}{2^1}$ equal to?

1. 2^3
2. 4^0
3. 2^4
4. 2^5

Q. Using the law of exponents, what is (a^-3 * b^-4)/(a^-2 * b^-3) in simplified terms?

1. a^5 b^7
2. ab^2
3. ab
4. 1/ab

Q. Simplify $\frac{(-2{)}^3\times (-2{)}^7}{3\times 4^6}.$

1. 2
2. $\frac{1}{12}$
3. $\frac{2}{3}$
4. $\frac{1}{6}$

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

Simplify and write in exponential form: $4^3\times 4^{-2}\times {16}^2$

1. 4³

2. 4⁴

3. 4⁵

4. 4⁶

Q.

Simplify ${(2^5÷2^8)}^5$ × $2^{-5}.$

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

2. $\frac{1}{2^{(-15)}}$

3. $\frac{1}{2^{(-5)}}$

4. $\frac{1}{2^{20}}$