Dividing Powers with the Same Base

Q.

If $y=3x^5+4x^4+2x+3$, then

1. $y_4=0$

2. $y_5=0$

3. $y_6=0$

4. None of these

Q.

Write down the base and the exponent of ${(-3)}^7$.

Q.

Evaluate the expression

${11}^3$

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

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

Q.

The value of $3^3\times 2^3$ is:

1. 216

2. 215

3. 201

4. 219

Q. $\frac{2^5}{2^8}\times 2^{-7}$ =

1. $2^{10}$
2. $2^6$
3. $2^{-10}$
4. $2^{-4}$

Q.

Write down the base and the exponent of ${10}^5$.

Q. Solve $9^{4x}÷3^{2x}=2187$ and find the value of x.

1. $x=\frac{6}{7}$
2. $x=\frac{-7}{6}$
3. $x=\frac{7}{6}$
4. $x=\frac{-6}{7}$

Q.

In ${10}^4$, 10 is the base and 4 is the __.

Q. Evaluate:
$2^3\times 5^2$

Q. Simplify $\frac{a{b}^2{c}^3\times a^4{b}^5{c}^{-6}}{a^{-7}{b}^{-8}{c}^9\times a^{10}{b}^{11}{c}^{-12}\times a^{13}{b}^{-14}{c}^{15}}$

1. $a^{11}{b}^{18}{c}^{-15}$
2. $a^{11}{b}^{18}{c}^{15}$
3. $a^{-11}{b}^{-18}{c}^{15}$
4. $a^{-11}{b}^{18}{c}^{-15}$

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

1. 12
2. 11
3. $\frac{1}{12}$
4. $\frac{1}{14}$

Q.

The table shows the price of a bluetooth speaker each month for 4 months

Month	Price(dollar)
June	165
July	165+(-12)
August	165+2(-12)
September	165+3(-12)

The table at the right shows the amount of money you save each month. When do you have enough money saved to buy the speaker? Explain your reasoning.

Amount Saved
June	$35
July	$55
August	$45
September	$18

Q.

Solve for $x$ .

$\left[{12}^{8x}\times 12\right]÷{12}^7=20736$

Q. While expressing $\frac{1}{8}$ in exponential form, the base is and the exponent is .

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

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. $\frac{-2}{5}$
2. $\frac{25}{4}$
3. $\frac{5}{40}$
4. $\frac{4}{25}$

Q. Find the value of ${100}^{\frac{5}{2}}÷{100}^{-\frac{1}{2}}$.

1. ${10}^2$
2. ${10}^6$
3. ${10}^{-6}$
4. ${10}^4$